42013344331024 has 30 divisors (see below), whose sum is σ = 89473666676030. Its totient is φ = 19096974695040.

The previous prime is 42013344330851. The next prime is 42013344331043.

42013344331024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 27969078416400 + 14044265914624 = 5288580^2 + 3747568^2 .

It is a super-2 number, since 2×42013344331024² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10850551869 + ... + 10850555740.

Almost surely, 2^{42013344331024} is an apocalyptic number.

42013344331024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42013344331024 is an abundant number, since it is smaller than the sum of its proper divisors (47460322345006).

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

42013344331024 is a wasteful number, since it uses less digits than its factorization.

42013344331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21701107639 (or 21701107622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4201334 and 4331024, that added together give a palindrome (8532358).

The spelling of 42013344331024 in words is "forty-two trillion, thirteen billion, three hundred forty-four million, three hundred thirty-one thousand, twenty-four".