42640122104624 has 30 divisors (see below), whose sum is σ = 90808483184580. Its totient is φ = 19381873683040.

The previous prime is 42640122104551. The next prime is 42640122104651.

42640122104624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11012426294 + ... + 11012430165.

It is an arithmetic number, because the mean of its divisors is an integer number (3026949439486).

Almost surely, 2^{42640122104624} is an apocalyptic number.

42640122104624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42640122104624 is an abundant number, since it is smaller than the sum of its proper divisors (48168361079956).

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

42640122104624 is a wasteful number, since it uses less digits than its factorization.

42640122104624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22024856489 (or 22024856472 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 4264012 and 2104624, that added together give a palindrome (6368636).

The spelling of 42640122104624 in words is "forty-two trillion, six hundred forty billion, one hundred twenty-two million, one hundred four thousand, six hundred twenty-four".