42968709328896 has 832 divisors, whose sum is σ = 140212725452800. Its totient is φ = 12923529854976.

The previous prime is 42968709328873. The next prime is 42968709328939. The reversal of 42968709328896 is 69882390786924.

42968709328896 is a `hidden beast` number, since 4 + 2 + 96 + 87 + 0 + 93 + 288 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

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, 11698530516 + ... + 11698534188.

It is an arithmetic number, because the mean of its divisors is an integer number (168524910400).

Almost surely, 2^{42968709328896} 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 42968709328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70106362726400).

42968709328896 is an abundant number, since it is smaller than the sum of its proper divisors (97244016123904).

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

42968709328896 is a wasteful number, since it uses less digits than its factorization.

42968709328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 42968709328896 in words is "forty-two trillion, nine hundred sixty-eight billion, seven hundred nine million, three hundred twenty-eight thousand, eight hundred ninety-six".