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404420423440 = 245111543297841
BaseRepresentation
bin1011110001010010101…
…01011110111100010000
31102122212202101010222111
411320221111132330100
523111223112022230
6505442125115104
741134625610625
oct5705125367420
91378782333874
10404420423440
11146571870a10
12664676b8a94
132c1a13a2407
14158072b634c
15a7bea1892a
hex5e2955ef10

404420423440 has 80 divisors (see below), whose sum is σ = 1026425483136. Its totient is φ = 146966169600.

The previous prime is 404420423423. The next prime is 404420423453. The reversal of 404420423440 is 44324024404.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208920 + ... + 1506760.

Almost surely, 2404420423440 is an apocalyptic number.

404420423440 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 404420423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513212741568).

404420423440 is an abundant number, since it is smaller than the sum of its proper divisors (622005059696).

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

404420423440 is a wasteful number, since it uses less digits than its factorization.

404420423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299408 (or 299402 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 404420423440 its reverse (44324024404), we get a palindrome (448744447844).

The spelling of 404420423440 in words is "four hundred four billion, four hundred twenty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1543 3086 6172 7715 12344 15430 16973 24688 30860 33946 61720 67892 84865 123440 135784 169730 271568 297841 339460 595682 678920 1191364 1357840 1489205 2382728 2978410 3276251 4765456 5956820 6552502 11913640 13105004 16381255 23827280 26210008 32762510 52420016 65525020 131050040 262100080 459568663 919137326 1838274652 2297843315 3676549304 4595686630 5055255293 7353098608 9191373260 10110510586 18382746520 20221021172 25276276465 36765493040 40442042344 50552552930 80884084688 101105105860 202210211720 404420423440