413713988113800 has 768 divisors, whose sum is σ = 1516632506449920. Its totient is φ = 92247547392000.

The previous prime is 413713988113753. The next prime is 413713988113813. The reversal of 413713988113800 is 8311889317314.

It is a super-2 number, since 2×413713988113800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738530614 + ... + 739090586.

It is an arithmetic number, because the mean of its divisors is an integer number (1974781909440).

Almost surely, 2^{413713988113800} is an apocalyptic number.

413713988113800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413713988113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758316253224960).

413713988113800 is an abundant number, since it is smaller than the sum of its proper divisors (1102918518336120).

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

413713988113800 is a wasteful number, since it uses less digits than its factorization.

413713988113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560214 (or 560205 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 413713988113800 in words is "four hundred thirteen trillion, seven hundred thirteen billion, nine hundred eighty-eight million, one hundred thirteen thousand, eight hundred".