413120014031400 has 192 divisors, whose sum is σ = 1382476900190400. Its totient is φ = 101448380098560.

The previous prime is 413120014031357. The next prime is 413120014031423. The reversal of 413120014031400 is 4130410021314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59934789 + ... + 66471188.

It is an arithmetic number, because the mean of its divisors is an integer number (7200400521825).

Almost surely, 2^{413120014031400} is an apocalyptic number.

413120014031400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413120014031400 is an abundant number, since it is smaller than the sum of its proper divisors (969356886159000).

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

413120014031400 is a wasteful number, since it uses less digits than its factorization.

413120014031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126406428 (or 126406419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413120014031400 its reverse (4130410021314), we get a palindrome (417250424052714).

The spelling of 413120014031400 in words is "four hundred thirteen trillion, one hundred twenty billion, fourteen million, thirty-one thousand, four hundred".