342528507924480 has 832 divisors, whose sum is σ = 1238112043994880. Its totient is φ = 89824665010176.

The previous prime is 342528507924461. The next prime is 342528507924527. The reversal of 342528507924480 is 84429705825243.

342528507924480 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 2 + 8 + 507 + 9 + 2 + 44 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8105819512 + ... + 8105861768.

Almost surely, 2^{342528507924480} is an apocalyptic number.

342528507924480 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 342528507924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619056021997440).

342528507924480 is an abundant number, since it is smaller than the sum of its proper divisors (895583536070400).

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

342528507924480 is a wasteful number, since it uses less digits than its factorization.

342528507924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42539 (or 42511 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 342528507924480 in words is "three hundred forty-two trillion, five hundred twenty-eight billion, five hundred seven million, nine hundred twenty-four thousand, four hundred eighty".