42415344351424 has 56 divisors (see below), whose sum is σ = 92981853964800. Its totient is φ = 19035655092480.

The previous prime is 42415344351389. The next prime is 42415344351427.

42415344351424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42415344351424² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42415344351427) 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, 381267604 + ... + 381378835.

Almost surely, 2^{42415344351424} is an apocalyptic number.

42415344351424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42415344351424 is an abundant number, since it is smaller than the sum of its proper divisors (50566509613376).

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

42415344351424 is a wasteful number, since it uses less digits than its factorization.

42415344351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762646541 (or 762646531 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4241534 and 4351424, that added together give a palindrome (8592958).

The spelling of 42415344351424 in words is "forty-two trillion, four hundred fifteen billion, three hundred forty-four million, three hundred fifty-one thousand, four hundred twenty-four".