32411521024 has 117 divisors (see below), whose sum is σ = 67826370027. Its totient is φ = 15485632512.

The previous prime is 32411521019. The next prime is 32411521097. The reversal of 32411521024 is 42012511423.

The square root of 32411521024 is 180032.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23040000 + 32388481024 = 4800^2 + 179968^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32411521024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 334139344 + ... + 334139440.

Almost surely, 2^32411521024 is an apocalyptic number.

32411521024 is the 180032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32411521024

32411521024 is an abundant number, since it is smaller than the sum of its proper divisors (35414849003).

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

32411521024 is an frugal number, since it uses more digits than its factorization.

32411521024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 32411521024 by its sum of digits (25), we get a square (810288025600 = 900160²).

The spelling of 32411521024 in words is "thirty-two billion, four hundred eleven million, five hundred twenty-one thousand, twenty-four".