30372492641400 has 1728 divisors, whose sum is σ = 135622107129600. Its totient is φ = 6016863928320.

The previous prime is 30372492641341. The next prime is 30372492641443. The reversal of 30372492641400 is 414629427303.

30372492641400 is a `hidden beast` number, since 3 + 0 + 3 + 7 + 249 + 264 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9336762174 + ... + 9336765426.

It is an arithmetic number, because the mean of its divisors is an integer number (78485015700).

Almost surely, 2^{30372492641400} is an apocalyptic number.

30372492641400 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 30372492641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67811053564800).

30372492641400 is an abundant number, since it is smaller than the sum of its proper divisors (105249614488200).

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

30372492641400 is a wasteful number, since it uses less digits than its factorization.

30372492641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 30372492641400 in words is "thirty trillion, three hundred seventy-two billion, four hundred ninety-two million, six hundred forty-one thousand, four hundred".