42651322315624 has 32 divisors (see below), whose sum is σ = 87878139235200. Its totient is φ = 19245453992320.

The previous prime is 42651322315607. The next prime is 42651322315663.

It is a happy number.

42651322315624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768871584 + ... + 1768895695.

It is an arithmetic number, because the mean of its divisors is an integer number (2746191851100).

Almost surely, 2^{42651322315624} is an apocalyptic number.

42651322315624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42651322315624 is an abundant number, since it is smaller than the sum of its proper divisors (45226816919576).

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

42651322315624 is a wasteful number, since it uses less digits than its factorization.

42651322315624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537767433 (or 3537767429 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The spelling of 42651322315624 in words is "forty-two trillion, six hundred fifty-one billion, three hundred twenty-two million, three hundred fifteen thousand, six hundred twenty-four".