31129190400 has 1080 divisors, whose sum is σ = 133399961856. Its totient is φ = 6330777600.

The previous prime is 31129190387. The next prime is 31129190419. The reversal of 31129190400 is 409192113.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 662323177 + ... + 662323223.

Almost surely, 2^31129190400 is an apocalyptic number.

31129190400 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 31129190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66699980928).

31129190400 is an abundant number, since it is smaller than the sum of its proper divisors (102270771456).

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

31129190400 is a wasteful number, since it uses less digits than its factorization.

31129190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 31129190400 in words is "thirty-one billion, one hundred twenty-nine million, one hundred ninety thousand, four hundred".