30508940540400 has 360 divisors, whose sum is σ = 120373706415600. Its totient is φ = 6563267665920.

The previous prime is 30508940540399. The next prime is 30508940540453. The reversal of 30508940540400 is 404504980503.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14260975 + ... + 16260174.

It is an arithmetic number, because the mean of its divisors is an integer number (334371406710).

Almost surely, 2^{30508940540400} is an apocalyptic number.

30508940540400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30508940540400 is an abundant number, since it is smaller than the sum of its proper divisors (89864765875200).

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

30508940540400 is a wasteful number, since it uses less digits than its factorization.

30508940540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30521201 (or 30521183 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 30508940540400 in words is "thirty trillion, five hundred eight billion, nine hundred forty million, five hundred forty thousand, four hundred".