413014343232030 has 128 divisors (see below), whose sum is σ = 1068333060986496. Its totient is φ = 101807677440000.

The previous prime is 413014343231957. The next prime is 413014343232083. The reversal of 413014343232030 is 30232343410314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413014343231982 and 413014343232000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11073780 + ... + 30800280.

It is an arithmetic number, because the mean of its divisors is an integer number (8346352038957).

Almost surely, 2^{413014343232030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413014343232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534166530493248).

413014343232030 is an abundant number, since it is smaller than the sum of its proper divisors (655318717754466).

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

413014343232030 is a wasteful number, since it uses less digits than its factorization.

413014343232030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727262.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 413014343232030 its reverse (30232343410314), we get a palindrome (443246686642344).

The spelling of 413014343232030 in words is "four hundred thirteen trillion, fourteen billion, three hundred forty-three million, two hundred thirty-two thousand, thirty".