32294215840000 has 135 divisors (see below), whose sum is σ = 80557738371187. Its totient is φ = 12916777088000.

The previous prime is 32294215839979. The next prime is 32294215840069. The reversal of 32294215840000 is 4851249223.

The square root of 32294215840000 is 5682800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2531866521856 + 29762349318144 = 1591184^2 + 5455488^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2273112897 + ... + 2273127103.

Almost surely, 2^{32294215840000} is an apocalyptic number.

32294215840000 is the 5682800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32294215840000

32294215840000 is an abundant number, since it is smaller than the sum of its proper divisors (48263522531187).

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

32294215840000 is an frugal number, since it uses more digits than its factorization.

32294215840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28450 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 32294215840000 in words is "thirty-two trillion, two hundred ninety-four billion, two hundred fifteen million, eight hundred forty thousand".