42623166132624 has 240 divisors, whose sum is σ = 145599798794240. Its totient is φ = 10488270355200.

The previous prime is 42623166132601. The next prime is 42623166132647.

42623166132624 is nontrivially palindromic in base 10.

42623166132624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42623166132601) and next prime (42623166132647).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26816632 + ... + 28361559.

Almost surely, 2^{42623166132624} is an apocalyptic number.

42623166132624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42623166132624 is an abundant number, since it is smaller than the sum of its proper divisors (102976632661616).

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

42623166132624 is a wasteful number, since it uses less digits than its factorization.

42623166132624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55178250 (or 55178233 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 42623166132624 in words is "forty-two trillion, six hundred twenty-three billion, one hundred sixty-six million, one hundred thirty-two thousand, six hundred twenty-four".