42614344341624 has 32 divisors (see below), whose sum is σ = 116220939114240. Its totient is φ = 12913437679200.

The previous prime is 42614344341593. The next prime is 42614344341629.

42614344341624 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614344341629) 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, 80708985232 + ... + 80708985759.

It is an arithmetic number, because the mean of its divisors is an integer number (3631904347320).

Almost surely, 2^{42614344341624} is an apocalyptic number.

42614344341624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42614344341624 is an abundant number, since it is smaller than the sum of its proper divisors (73606594772616).

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

42614344341624 is a wasteful number, since it uses less digits than its factorization.

42614344341624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161417971011 (or 161417971007 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 42614344341624 in words is "forty-two trillion, six hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, six hundred twenty-four".