4295042572896 has 384 divisors, whose sum is σ = 13182956236800. Its totient is φ = 1358652579840.

The previous prime is 4295042572879. The next prime is 4295042572897. The reversal of 4295042572896 is 6982752405924.

4295042572896 is a `hidden beast` number, since 4 + 2 + 9 + 50 + 4 + 2 + 572 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295042572897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684247710 + ... + 684253986.

It is an arithmetic number, because the mean of its divisors is an integer number (34330615200).

Almost surely, 2^{4295042572896} 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 4295042572896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591478118400).

4295042572896 is an abundant number, since it is smaller than the sum of its proper divisors (8887913663904).

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

4295042572896 is a wasteful number, since it uses less digits than its factorization.

4295042572896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 4295042572896 in words is "four trillion, two hundred ninety-five billion, forty-two million, five hundred seventy-two thousand, eight hundred ninety-six".