42864311346824 has 64 divisors (see below), whose sum is σ = 87889950720000. Its totient is φ = 19436483341120.

The previous prime is 42864311346793. The next prime is 42864311346869.

42864311346824 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42864311346824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124724777 + ... + 125067975.

It is an arithmetic number, because the mean of its divisors is an integer number (1373280480000).

Almost surely, 2^{42864311346824} is an apocalyptic number.

42864311346824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42864311346824 is an abundant number, since it is smaller than the sum of its proper divisors (45025639373176).

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

42864311346824 is a wasteful number, since it uses less digits than its factorization.

42864311346824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346658 (or 346654 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The spelling of 42864311346824 in words is "forty-two trillion, eight hundred sixty-four billion, three hundred eleven million, three hundred forty-six thousand, eight hundred twenty-four".