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440411420000 = 255431710341
BaseRepresentation
bin1100110100010101001…
…00001111010101100000
31120002210000210012122002
412122022210033111200
524203430310420000
6534153333103132
743550543206016
oct6321244172540
91502700705562
10440411420000
1115a860846372
1271430a87aa8
13326b8a00196
141745d2688b6
15b6c959c8d5
hex668a90f560

440411420000 has 120 divisors (see below), whose sum is σ = 1118430637632. Its totient is φ = 170481600000.

The previous prime is 440411419993. The next prime is 440411420003. The reversal of 440411420000 is 24114044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440411420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264830 + ... + 975170.

Almost surely, 2440411420000 is an apocalyptic number.

440411420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440411420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559215318816).

440411420000 is an abundant number, since it is smaller than the sum of its proper divisors (678019217632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440411420000 is an equidigital number, since it uses as much as digits as its factorization.

440411420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710402 (or 710379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 440411420000 its reverse (24114044), we get a palindrome (440435534044).

The spelling of 440411420000 in words is "four hundred forty billion, four hundred eleven million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 10000 12400 15500 19375 20000 24800 31000 38750 62000 77500 124000 155000 310000 620000 710341 1420682 2841364 3551705 5682728 7103410 11365456 14206820 17758525 22020571 22730912 28413640 35517050 44041142 56827280 71034100 88082284 88792625 110102855 113654560 142068200 176164568 177585250 220205710 284136400 352329136 355170500 440411420 443963125 550514275 568272800 704658272 710341000 880822840 887926250 1101028550 1420682000 1761645680 1775852500 2202057100 2752571375 2841364000 3523291360 3551705000 4404114200 5505142750 7103410000 8808228400 11010285500 13762856875 14206820000 17616456800 22020571000 27525713750 44041142000 55051427500 88082284000 110102855000 220205710000 440411420000