413111243440 has 80 divisors (see below), whose sum is σ = 1098017722368. Its totient is φ = 141596575488.

The previous prime is 413111243429. The next prime is 413111243471. The reversal of 413111243440 is 44342111314.

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

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 = 413111243399 and 413111243408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832769 + ... + 2045791.

Almost surely, 2^413111243440 is an apocalyptic number.

413111243440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413111243440 is an abundant number, since it is smaller than the sum of its proper divisors (684906478928).

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

413111243440 is a wasteful number, since it uses less digits than its factorization.

413111243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216506 (or 216500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 413111243440 its reverse (44342111314), we get a palindrome (457453354754).

The spelling of 413111243440 in words is "four hundred thirteen billion, one hundred eleven million, two hundred forty-three thousand, four hundred forty".