413132194681710 has 256 divisors, whose sum is σ = 1201599613532160. Its totient is φ = 88800536494080.

The previous prime is 413132194681669. The next prime is 413132194681711. The reversal of 413132194681710 is 17186491231314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413132194681711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11630628750 + ... + 11630664270.

It is an arithmetic number, because the mean of its divisors is an integer number (4693748490360).

Almost surely, 2^{413132194681710} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413132194681710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600799806766080).

413132194681710 is an abundant number, since it is smaller than the sum of its proper divisors (788467418850450).

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

413132194681710 is a wasteful number, since it uses less digits than its factorization.

413132194681710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56971.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 413132194681710 in words is "four hundred thirteen trillion, one hundred thirty-two billion, one hundred ninety-four million, six hundred eighty-one thousand, seven hundred ten".