42013233231024 has 40 divisors (see below), whose sum is σ = 118400930016192. Its totient is φ = 12731282797120.

The previous prime is 42013233230977. The next prime is 42013233231083.

It is a happy number.

42013233231024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42013233231024² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42013233230982 and 42013233231000.

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, 39785258214 + ... + 39785259269.

Almost surely, 2^{42013233231024} is an apocalyptic number.

42013233231024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42013233231024 is an abundant number, since it is smaller than the sum of its proper divisors (76387696785168).

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

42013233231024 is a wasteful number, since it uses less digits than its factorization.

42013233231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79570517505 (or 79570517499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4201323 and 3231024, that added together give a palindrome (7432347).

The spelling of 42013233231024 in words is "forty-two trillion, thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, twenty-four".