42031011013024 has 48 divisors (see below), whose sum is σ = 90306564919200. Its totient is φ = 19097509500160.

The previous prime is 42031011013021. The next prime is 42031011013183.

42031011013024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42031011012986 and 42031011013004.

It is not an unprimeable number, because it can be changed into a prime (42031011013021) 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, 22524934 + ... + 24319429.

It is an arithmetic number, because the mean of its divisors is an integer number (1881386769150).

Almost surely, 2^{42031011013024} is an apocalyptic number.

42031011013024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42031011013024 is an abundant number, since it is smaller than the sum of its proper divisors (48275553906176).

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

42031011013024 is a wasteful number, since it uses less digits than its factorization.

42031011013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46846933 (or 46846925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 4203101 and 1013024, that added together give a palindrome (5216125).

The spelling of 42031011013024 in words is "forty-two trillion, thirty-one billion, eleven million, thirteen thousand, twenty-four".