42043011034024 has 64 divisors (see below), whose sum is σ = 105842545280640. Its totient is φ = 15120363605760.

The previous prime is 42043011034009. The next prime is 42043011034027.

42043011034024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42043011034024² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42043011033983 and 42043011034001.

It is not an unprimeable number, because it can be changed into a prime (42043011034027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625055119 + ... + 2625071134.

It is an arithmetic number, because the mean of its divisors is an integer number (1653789770010).

Almost surely, 2^{42043011034024} is an apocalyptic number.

42043011034024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42043011034024 is an abundant number, since it is smaller than the sum of its proper divisors (63799534246616).

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

42043011034024 is a wasteful number, since it uses less digits than its factorization.

42043011034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250126290 (or 5250126286 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4204301 and 1034024, that added together give a palindrome (5238325).

The spelling of 42043011034024 in words is "forty-two trillion, forty-three billion, eleven million, thirty-four thousand, twenty-four".