42031311313024 has 256 divisors, whose sum is σ = 95069694504960. Its totient is φ = 18341898854400.

The previous prime is 42031311313021. The next prime is 42031311313049.

42031311313024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42031311313024² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42031311312983 and 42031311313001.

It is not an unprimeable number, because it can be changed into a prime (42031311313021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4111440777 + ... + 4111450999.

It is an arithmetic number, because the mean of its divisors is an integer number (371365994160).

Almost surely, 2^{42031311313024} is an apocalyptic number.

42031311313024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42031311313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47534847252480).

42031311313024 is an abundant number, since it is smaller than the sum of its proper divisors (53038383191936).

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

42031311313024 is a wasteful number, since it uses less digits than its factorization.

42031311313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 4203131 and 1313024, that added together give a palindrome (5516155).

The spelling of 42031311313024 in words is "forty-two trillion, thirty-one billion, three hundred eleven million, three hundred thirteen thousand, twenty-four".