42622075102968 has 128 divisors (see below), whose sum is σ = 119450231380800. Its totient is φ = 14080705486848.

The previous prime is 42622075102883. The next prime is 42622075103017. The reversal of 42622075102968 is 86920157022624.

42622075102968 is a `hidden beast` number, since 4 + 2 + 62 + 2 + 0 + 7 + 510 + 2 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441663330 + ... + 441759822.

Almost surely, 2^{42622075102968} 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 42622075102968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59725115690400).

42622075102968 is an abundant number, since it is smaller than the sum of its proper divisors (76828156277832).

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

42622075102968 is a wasteful number, since it uses less digits than its factorization.

42622075102968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114718 (or 114708 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42622075102968 in words is "forty-two trillion, six hundred twenty-two billion, seventy-five million, one hundred two thousand, nine hundred sixty-eight".