32238912218240 has 512 divisors, whose sum is σ = 95208274022400. Its totient is φ = 10165370535936.

The previous prime is 32238912218213. The next prime is 32238912218251. The reversal of 32238912218240 is 4281221983223.

It is a super-2 number, since 2×32238912218240² (a number of 28 digits) contains 22 as substring.

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, 34043201447 + ... + 34043202393.

It is an arithmetic number, because the mean of its divisors is an integer number (185953660200).

Almost surely, 2^{32238912218240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32238912218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604137011200).

32238912218240 is an abundant number, since it is smaller than the sum of its proper divisors (62969361804160).

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

32238912218240 is a wasteful number, since it uses less digits than its factorization.

32238912218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 32238912218240 in words is "thirty-two trillion, two hundred thirty-eight billion, nine hundred twelve million, two hundred eighteen thousand, two hundred forty".