30913892630400 has 576 divisors, whose sum is σ = 114059806290000. Its totient is φ = 7347163299840.

The previous prime is 30913892630333. The next prime is 30913892630419. The reversal of 30913892630400 is 403629831903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30913892630400.

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, 46721076 + ... + 47378124.

Almost surely, 2^{30913892630400} is an apocalyptic number.

30913892630400 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 30913892630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57029903145000).

30913892630400 is an abundant number, since it is smaller than the sum of its proper divisors (83145913659600).

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

30913892630400 is a wasteful number, since it uses less digits than its factorization.

30913892630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657131 (or 657101 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 30913892630400 in words is "thirty trillion, nine hundred thirteen billion, eight hundred ninety-two million, six hundred thirty thousand, four hundred".