30425601024 has 880 divisors, whose sum is σ = 116511964800. Its totient is φ = 7691894784.

The previous prime is 30425601013. The next prime is 30425601049. The reversal of 30425601024 is 42010652403.

30425601024 is a `hidden beast` number, since 30 + 4 + 2 + 5 + 601 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218889147 + ... + 218889285.

It is an arithmetic number, because the mean of its divisors is an integer number (132399960).

Almost surely, 2^30425601024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30425601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58255982400).

30425601024 is an abundant number, since it is smaller than the sum of its proper divisors (86086363776).

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

30425601024 is a wasteful number, since it uses less digits than its factorization.

30425601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 30425601024 in words is "thirty billion, four hundred twenty-five million, six hundred one thousand, twenty-four".