42640100104624 has 20 divisors (see below), whose sum is σ = 90125666130600. Its totient is φ = 19381863683840.

The previous prime is 42640100104559. The next prime is 42640100104643.

42640100104624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42640100104624.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121136647849 + ... + 121136648200.

It is an arithmetic number, because the mean of its divisors is an integer number (4506283306530).

Almost surely, 2^{42640100104624} is an apocalyptic number.

42640100104624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42640100104624 is an abundant number, since it is smaller than the sum of its proper divisors (47485566025976).

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

42640100104624 is a wasteful number, since it uses less digits than its factorization.

42640100104624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242273296068 (or 242273296062 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 42640100 and 104624, that added together give a palindrome (42744724).

The spelling of 42640100104624 in words is "forty-two trillion, six hundred forty billion, one hundred million, one hundred four thousand, six hundred twenty-four".