413330010144 has 48 divisors (see below), whose sum is σ = 1085024461248. Its totient is φ = 137772456192.

The previous prime is 413330010139. The next prime is 413330010151. The reversal of 413330010144 is 441010033314.

413330010144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762469 + ... + 5833755.

It is an arithmetic number, because the mean of its divisors is an integer number (22604676276).

Almost surely, 2^413330010144 is an apocalyptic number.

It is an amenable number.

413330010144 is an abundant number, since it is smaller than the sum of its proper divisors (671694451104).

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

413330010144 is a wasteful number, since it uses less digits than its factorization.

413330010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131697 (or 131689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413330010144 its reverse (441010033314), we get a palindrome (854340043458).

The spelling of 413330010144 in words is "four hundred thirteen billion, three hundred thirty million, ten thousand, one hundred forty-four".