31477406400 has 504 divisors, whose sum is σ = 128484782400. Its totient is φ = 7228569600.

The previous prime is 31477406399. The next prime is 31477406413. The reversal of 31477406400 is 460477413.

It is a happy number.

31477406400 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 7 + 4 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×31477406400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3004371 + ... + 3014829.

Almost surely, 2^31477406400 is an apocalyptic number.

31477406400 is a gapful number since it is divisible by the number (30) 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 31477406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64242391200).

31477406400 is an abundant number, since it is smaller than the sum of its proper divisors (97007376000).

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

31477406400 is a wasteful number, since it uses less digits than its factorization.

31477406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 31477406400 in words is "thirty-one billion, four hundred seventy-seven million, four hundred six thousand, four hundred".