413221421440120 has 32 divisors (see below), whose sum is σ = 930830559433200. Its totient is φ = 165096148808448.

The previous prime is 413221421440099. The next prime is 413221421440159. The reversal of 413221421440120 is 21044124122314.

It is a super-2 number, since 2×413221421440120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 6013082949 + ... + 6013151668.

Almost surely, 2^{413221421440120} is an apocalyptic number.

413221421440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413221421440120 is an abundant number, since it is smaller than the sum of its proper divisors (517609137993080).

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

413221421440120 is a wasteful number, since it uses less digits than its factorization.

413221421440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026235487 (or 12026235483 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 413221421440120 its reverse (21044124122314), we get a palindrome (434265545562434).

The spelling of 413221421440120 in words is "four hundred thirteen trillion, two hundred twenty-one billion, four hundred twenty-one million, four hundred forty thousand, one hundred twenty".