413310240100 has 72 divisors (see below), whose sum is σ = 903267687168. Its totient is φ = 164148816000.

The previous prime is 413310240067. The next prime is 413310240149. The reversal of 413310240100 is 1042013314.

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, 22771629 + ... + 22789771.

It is an arithmetic number, because the mean of its divisors is an integer number (12545384544).

Almost surely, 2^413310240100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413310240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451633843584).

413310240100 is an abundant number, since it is smaller than the sum of its proper divisors (489957447068).

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

413310240100 is a wasteful number, since it uses less digits than its factorization.

413310240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 413310240100 its reverse (1042013314), we get a palindrome (414352253414).

The spelling of 413310240100 in words is "four hundred thirteen billion, three hundred ten million, two hundred forty thousand, one hundred".