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40404440211040 = 25517142910395083
BaseRepresentation
bin10010010111111011001000…
…10011100101111001100000
312022001121220220112110210001
421023331210103211321200
520243441243143223130
6221533313225345344
711340060460110313
oct1113754423457140
9168047826473701
1040404440211040
1111968477180774
124646799338254
131971178aa76c9
149d982a26297a
154a102b3436ca
hex24bf644e5e60

40404440211040 has 96 divisors (see below), whose sum is σ = 101141256696480. Its totient is φ = 15200437346304.

The previous prime is 40404440210993. The next prime is 40404440211053. The reversal of 40404440211040 is 4011204440404.

40404440211040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310662 + ... + 9084421.

It is an arithmetic number, because the mean of its divisors is an integer number (1053554757255).

Almost surely, 240404440211040 is an apocalyptic number.

40404440211040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40404440211040 is an abundant number, since it is smaller than the sum of its proper divisors (60736816485440).

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

40404440211040 is a wasteful number, since it uses less digits than its factorization.

40404440211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396544 (or 10396536 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 40404440211040 its reverse (4011204440404), we get a palindrome (44415644651444).

The spelling of 40404440211040 in words is "forty trillion, four hundred four billion, four hundred forty million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1429 2720 2858 5716 7145 11432 14290 22864 24293 28580 45728 48586 57160 97172 114320 121465 194344 228640 242930 388688 485860 777376 971720 1943440 3886880 10395083 20790166 41580332 51975415 83160664 103950830 166321328 176716411 207901660 332642656 353432822 415803320 706865644 831606640 883582055 1413731288 1663213280 1767164110 2827462576 3534328220 5654925152 7068656440 14137312880 14854573607 28274625760 29709147214 59418294428 74272868035 118836588856 148545736070 237673177712 252527751319 297091472140 475346355424 505055502638 594182944280 1010111005276 1188365888560 1262638756595 2020222010552 2376731777120 2525277513190 4040444021104 5050555026380 8080888042208 10101110052760 20202220105520 40404440211040