42861572792640 has 1008 divisors, whose sum is σ = 174171476928384. Its totient is φ = 9644479488000.

The previous prime is 42861572792629. The next prime is 42861572792699. The reversal of 42861572792640 is 4629727516824.

42861572792640 is a `hidden beast` number, since 4 + 2 + 8 + 615 + 7 + 2 + 7 + 9 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42861572792640² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7584773815 + ... + 7584779465.

Almost surely, 2^{42861572792640} is an apocalyptic number.

42861572792640 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 42861572792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87085738464192).

42861572792640 is an abundant number, since it is smaller than the sum of its proper divisors (131309904135744).

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

42861572792640 is a wasteful number, since it uses less digits than its factorization.

42861572792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6516 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 42861572792640 in words is "forty-two trillion, eight hundred sixty-one billion, five hundred seventy-two million, seven hundred ninety-two thousand, six hundred forty".