413312033400 has 96 divisors (see below), whose sum is σ = 1464305504640. Its totient is φ = 94471320960.

The previous prime is 413312033377. The next prime is 413312033417. The reversal of 413312033400 is 4330213314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49199614 + ... + 49208013.

It is an arithmetic number, because the mean of its divisors is an integer number (15253182340).

Almost surely, 2^413312033400 is an apocalyptic number.

413312033400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413312033400 is an abundant number, since it is smaller than the sum of its proper divisors (1050993471240).

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

413312033400 is a wasteful number, since it uses less digits than its factorization.

413312033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98407653 (or 98407644 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413312033400 its reverse (4330213314), we get a palindrome (417642246714).

The spelling of 413312033400 in words is "four hundred thirteen billion, three hundred twelve million, thirty-three thousand, four hundred".