30330892130400 has 180 divisors, whose sum is σ = 110610866162412. Its totient is φ = 8088237884160.

The previous prime is 30330892130347. The next prime is 30330892130411. The reversal of 30330892130400 is 403129803303.

30330892130400 is a `hidden beast` number, since 3 + 0 + 3 + 30 + 8 + 9 + 213 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 233969862 + ... + 234099461.

Almost surely, 2^{30330892130400} is an apocalyptic number.

30330892130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30330892130400 is an abundant number, since it is smaller than the sum of its proper divisors (80279974032012).

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

30330892130400 is a wasteful number, since it uses less digits than its factorization.

30330892130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468069355 (or 468069333 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30330892130400 in words is "thirty trillion, three hundred thirty billion, eight hundred ninety-two million, one hundred thirty thousand, four hundred".