30590932941240 has 768 divisors, whose sum is σ = 109862988318720. Its totient is φ = 6669895680000.

The previous prime is 30590932941143. The next prime is 30590932941253. The reversal of 30590932941240 is 4214923909503.

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 191 ways as a sum of consecutive naturals, for example, 108864529900 + ... + 108864530180.

It is an arithmetic number, because the mean of its divisors is an integer number (143050766040).

Almost surely, 2^{30590932941240} is an apocalyptic number.

30590932941240 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 30590932941240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54931494159360).

30590932941240 is an abundant number, since it is smaller than the sum of its proper divisors (79272055377480).

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

30590932941240 is a wasteful number, since it uses less digits than its factorization.

30590932941240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 30590932941240 in words is "thirty trillion, five hundred ninety billion, nine hundred thirty-two million, nine hundred forty-one thousand, two hundred forty".