32240410788096 has 1215 divisors, whose sum is σ = 115372441059183. Its totient is φ = 8928642078720.

The previous prime is 32240410788049. The next prime is 32240410788151. The reversal of 32240410788096 is 69088701404223.

The square root of 32240410788096 is 5678064.

It is a perfect power (a square), and thus also a powerful number.

32240410788096 is a `hidden beast` number, since 3 + 2 + 2 + 404 + 1 + 0 + 78 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 246110005951 + ... + 246110006081.

Almost surely, 2^{32240410788096} is an apocalyptic number.

32240410788096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32240410788096 is the 5678064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32240410788096

32240410788096 is an abundant number, since it is smaller than the sum of its proper divisors (83132030271087).

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

32240410788096 is an frugal number, since it uses more digits than its factorization.

32240410788096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 32240410788096 in words is "thirty-two trillion, two hundred forty billion, four hundred ten million, seven hundred eighty-eight thousand, ninety-six".