413231113311440 has 80 divisors (see below), whose sum is σ = 1011490690869120. Its totient is φ = 156567772454400.

The previous prime is 413231113311431. The next prime is 413231113311451. The reversal of 413231113311440 is 44113311132314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×413231113311440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413231113311397 and 413231113311406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12264011 + ... + 31254890.

It is an arithmetic number, because the mean of its divisors is an integer number (12643633635864).

Almost surely, 2^{413231113311440} is an apocalyptic number.

413231113311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413231113311440 is an abundant number, since it is smaller than the sum of its proper divisors (598259577557680).

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

413231113311440 is a wasteful number, since it uses less digits than its factorization.

413231113311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43525180 (or 43525174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 413231113311440 its reverse (44113311132314), we get a palindrome (457344424443754).

The spelling of 413231113311440 in words is "four hundred thirteen trillion, two hundred thirty-one billion, one hundred thirteen million, three hundred eleven thousand, four hundred forty".