42626605440 has 128 divisors (see below), whose sum is σ = 136311102720. Its totient is φ = 11330385920.

The previous prime is 42626605391. The next prime is 42626605451. The reversal of 42626605440 is 4450662624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561427 + ... + 632813.

It is an arithmetic number, because the mean of its divisors is an integer number (1064930490).

Almost surely, 2^42626605440 is an apocalyptic number.

42626605440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42626605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68155551360).

42626605440 is an abundant number, since it is smaller than the sum of its proper divisors (93684497280).

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

42626605440 is a wasteful number, since it uses less digits than its factorization.

42626605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71720 (or 71708 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 42626605440 in words is "forty-two billion, six hundred twenty-six million, six hundred five thousand, four hundred forty".