413132211414400 has 48 divisors (see below), whose sum is σ = 1020565666017540. Its totient is φ = 165252884564480.

The previous prime is 413132211414371. The next prime is 413132211414409. The reversal of 413132211414400 is 4414112231314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413132211414409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64551904834 + ... + 64551911233.

Almost surely, 2^{413132211414400} is an apocalyptic number.

413132211414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413132211414400 is an abundant number, since it is smaller than the sum of its proper divisors (607433454603140).

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

413132211414400 is a wasteful number, since it uses less digits than its factorization.

413132211414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129103816091 (or 129103816074 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 413132211414400 its reverse (4414112231314), we get a palindrome (417546323645714).

The spelling of 413132211414400 in words is "four hundred thirteen trillion, one hundred thirty-two billion, two hundred eleven million, four hundred fourteen thousand, four hundred".