42052063662336 has 1296 divisors, whose sum is σ = 152768227465728. Its totient is φ = 10166678323200.

The previous prime is 42052063662307. The next prime is 42052063662337. The reversal of 42052063662336 is 63326636025024.

It is a super-2 number, since 2×42052063662336² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42052063662337) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5474812416 + ... + 5474820096.

Almost surely, 2^{42052063662336} 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 42052063662336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76384113732864).

42052063662336 is an abundant number, since it is smaller than the sum of its proper divisors (110716163803392).

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

42052063662336 is a wasteful number, since it uses less digits than its factorization.

42052063662336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 42052063662336 in words is "forty-two trillion, fifty-two billion, sixty-three million, six hundred sixty-two thousand, three hundred thirty-six".