42122757970944 has 792 divisors, whose sum is σ = 151460976296448. Its totient is φ = 11646741012480.

The previous prime is 42122757970883. The next prime is 42122757970967. The reversal of 42122757970944 is 44907975722124.

42122757970944 is a `hidden beast` number, since 4 + 2 + 12 + 2 + 7 + 579 + 7 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×42122757970944² (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 71 ways as a sum of consecutive naturals, for example, 377920087 + ... + 378031529.

Almost surely, 2^{42122757970944} 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 42122757970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75730488148224).

42122757970944 is an abundant number, since it is smaller than the sum of its proper divisors (109338218325504).

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

42122757970944 is a wasteful number, since it uses less digits than its factorization.

42122757970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111523 (or 111486 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 42122757970944 in words is "forty-two trillion, one hundred twenty-two billion, seven hundred fifty-seven million, nine hundred seventy thousand, nine hundred forty-four".