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40400004004320 = 253584166675009
BaseRepresentation
bin10010010111110010110111…
…11000110011100111100000
312022001012110202000211012110
421023321123320303213200
520243403202011114240
6221531301114155320
711336542522013112
oct1113713370634740
9168035422024173
1040400004004320
1111966600041a24
12464595b722b40
13197091c9a860c
149d95290013b2
154a0d6bb56c80
hex24be5be339e0

40400004004320 has 48 divisors (see below), whose sum is σ = 127260012615120. Its totient is φ = 10773334401024.

The previous prime is 40400004004303. The next prime is 40400004004337. The reversal of 40400004004320 is 2340040000404.

It is an interprime number because it is at equal distance from previous prime (40400004004303) and next prime (40400004004337).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42083337025 + ... + 42083337984.

It is an arithmetic number, because the mean of its divisors is an integer number (2651250262815).

Almost surely, 240400004004320 is an apocalyptic number.

40400004004320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400004004320 is an abundant number, since it is smaller than the sum of its proper divisors (86860008610800).

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

40400004004320 is a wasteful number, since it uses less digits than its factorization.

40400004004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84166675027 (or 84166675019 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40400004004320 its reverse (2340040000404), we get a palindrome (42740044004724).

The spelling of 40400004004320 in words is "forty trillion, four hundred billion, four million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 84166675009 168333350018 252500025027 336666700036 420833375045 505000050054 673333400072 841666750090 1010000100108 1262500125135 1346666800144 1683333500180 2020000200216 2525000250270 2693333600288 3366667000360 4040000400432 5050000500540 6733334000720 8080000800864 10100001001080 13466668001440 20200002002160 40400004004320