42053977069632 has 1008 divisors, whose sum is σ = 139466497921920. Its totient is φ = 12011231232000.

The previous prime is 42053977069537. The next prime is 42053977069669. The reversal of 42053977069632 is 23696077935024.

42053977069632 is a `hidden beast` number, since 4 + 2 + 0 + 539 + 7 + 7 + 0 + 6 + 96 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42053977069632.

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, 38475733278 + ... + 38475734370.

Almost surely, 2^{42053977069632} 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 42053977069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69733248960960).

42053977069632 is an abundant number, since it is smaller than the sum of its proper divisors (97412520852288).

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

42053977069632 is a wasteful number, since it uses less digits than its factorization.

42053977069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 42053977069632 in words is "forty-two trillion, fifty-three billion, nine hundred seventy-seven million, sixty-nine thousand, six hundred thirty-two".