42604600640624 has 40 divisors (see below), whose sum is σ = 90149917559808. Its totient is φ = 19344376082880.

The previous prime is 42604600640587. The next prime is 42604600640629.

42604600640624 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×42604600640624⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42604600640629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133286672 + ... + 133605935.

Almost surely, 2^{42604600640624} is an apocalyptic number.

42604600640624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42604600640624 is an abundant number, since it is smaller than the sum of its proper divisors (47545316919184).

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

42604600640624 is a wasteful number, since it uses less digits than its factorization.

42604600640624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266893533 (or 266893527 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 42604600640624 in words is "forty-two trillion, six hundred four billion, six hundred million, six hundred forty thousand, six hundred twenty-four".