42961872844800 has 4320 divisors, whose sum is σ = 201908541088800. Its totient is φ = 8666944634880.

The previous prime is 42961872844799. The next prime is 42961872844811. The reversal of 42961872844800 is 844827816924.

42961872844800 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 1 + 8 + 72 + 84 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 417105561549 + ... + 417105561651.

It is an arithmetic number, because the mean of its divisors is an integer number (46738088215).

Almost surely, 2^{42961872844800} is an apocalyptic number.

42961872844800 is a gapful number since it is divisible by the number (40) 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 42961872844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100954270544400).

42961872844800 is an abundant number, since it is smaller than the sum of its proper divisors (158946668244000).

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

42961872844800 is a wasteful number, since it uses less digits than its factorization.

42961872844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 42961872844800 in words is "forty-two trillion, nine hundred sixty-one billion, eight hundred seventy-two million, eight hundred forty-four thousand, eight hundred".