42332934321216 has 1344 divisors, whose sum is σ = 165985633382400. Its totient is φ = 9987928473600.

The previous prime is 42332934321163. The next prime is 42332934321229. The reversal of 42332934321216 is 61212343923324.

It is a happy number.

42332934321216 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 2 + 93 + 432 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1804538095 + ... + 1804561553.

Almost surely, 2^{42332934321216} is an apocalyptic number.

42332934321216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42332934321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992816691200).

42332934321216 is an abundant number, since it is smaller than the sum of its proper divisors (123652699061184).

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

42332934321216 is a wasteful number, since it uses less digits than its factorization.

42332934321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 23595 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 42332934321216 in words is "forty-two trillion, three hundred thirty-two billion, nine hundred thirty-four million, three hundred twenty-one thousand, two hundred sixteen".