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40440000400 = 2452127796063
BaseRepresentation
bin100101101010011010…
…010110111110010000
310212101022222212120121
4211222122112332100
51130310120003100
630324453320024
72631066221542
oct455232267620
9125338885517
1040440000400
1116172364938
127a07336014
133a7628a927
141d58bc5692
1510ba44c51a
hex96a696f90

40440000400 has 60 divisors (see below), whose sum is σ = 97922240512. Its totient is φ = 16048609920.

The previous prime is 40440000353. The next prime is 40440000409. The reversal of 40440000400 is 400004404.

40440000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40440000409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347232 + ... + 448831.

Almost surely, 240440000400 is an apocalyptic number.

40440000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440000400 is an abundant number, since it is smaller than the sum of its proper divisors (57482240112).

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

40440000400 is a wasteful number, since it uses less digits than its factorization.

40440000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796208 (or 796197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40440000400 its reverse (400004404), we get a palindrome (40840004804).

The spelling of 40440000400 in words is "forty billion, four hundred forty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 1016 1270 2032 2540 3175 5080 6350 10160 12700 25400 50800 796063 1592126 3184252 3980315 6368504 7960630 12737008 15921260 19901575 31842520 39803150 63685040 79606300 101100001 159212600 202200002 318425200 404400004 505500005 808800008 1011000010 1617600016 2022000020 2527500025 4044000040 5055000050 8088000080 10110000100 20220000200 40440000400