32009342982400 has 243 divisors, whose sum is σ = 92172452754081. Its totient is φ = 10973545605120.

The previous prime is 32009342982367. The next prime is 32009342982451. The reversal of 32009342982400 is 428924390023.

The square root of 32009342982400 is 5657680.

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

It can be written as a sum of positive squares in only one way, i.e., 11523363473664 + 20485979508736 = 3394608^2 + 4526144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3168295749 + ... + 3168305851.

Almost surely, 2^{32009342982400} is an apocalyptic number.

32009342982400 is the 5657680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32009342982400

32009342982400 is an abundant number, since it is smaller than the sum of its proper divisors (60163109771681).

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

32009342982400 is an frugal number, since it uses more digits than its factorization.

32009342982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 32009342982400 in words is "thirty-two trillion, nine billion, three hundred forty-two million, nine hundred eighty-two thousand, four hundred".