42106590026496 has 648 divisors, whose sum is σ = 135633759140880. Its totient is φ = 12539432779776.

The previous prime is 42106590026483. The next prime is 42106590026593. The reversal of 42106590026496 is 69462009560124.

42106590026496 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 6 + 590 + 0 + 2 + 6 + 49 + 6 = 666.

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, 1037164470 + ... + 1037205066.

Almost surely, 2^{42106590026496} 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 42106590026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67816879570440).

42106590026496 is an abundant number, since it is smaller than the sum of its proper divisors (93527169114384).

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

42106590026496 is a wasteful number, since it uses less digits than its factorization.

42106590026496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40729 (or 40693 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 42106590026496 in words is "forty-two trillion, one hundred six billion, five hundred ninety million, twenty-six thousand, four hundred ninety-six".