40413224000 has 56 divisors (see below), whose sum is σ = 100083369048. Its totient is φ = 16165286400.

The previous prime is 40413223967. The next prime is 40413224099. The reversal of 40413224000 is 42231404.

It can be written as a sum of positive squares in 4 ways, for example, as 3767013376 + 36646210624 = 61376^2 + 191432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2517827 + ... + 2533826.

Almost surely, 2^40413224000 is an apocalyptic number.

40413224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40413224000 is an abundant number, since it is smaller than the sum of its proper divisors (59670145048).

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

40413224000 is an equidigital number, since it uses as much as digits as its factorization.

40413224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051680 (or 5051660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40413224000 its reverse (42231404), we get a palindrome (40455455404).

The spelling of 40413224000 in words is "forty billion, four hundred thirteen million, two hundred twenty-four thousand".