40042424004 has 72 divisors (see below), whose sum is σ = 102786868800. Its totient is φ = 12123608640.

The previous prime is 40042423999. The next prime is 40042424021.

40042424004 is nontrivially palindromic in base 10.

40042424004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40042424004² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764522 + ... + 1787070.

It is an arithmetic number, because the mean of its divisors is an integer number (1427595400).

Almost surely, 2^40042424004 is an apocalyptic number.

40042424004 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 40042424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51393434400).

40042424004 is an abundant number, since it is smaller than the sum of its proper divisors (62744444796).

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

40042424004 is a wasteful number, since it uses less digits than its factorization.

40042424004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23801 (or 23788 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 40042424004 in words is "forty billion, forty-two million, four hundred twenty-four thousand, four".