413004013002 has 128 divisors (see below), whose sum is σ = 1110897262080. Its totient is φ = 111030082560.

The previous prime is 413004012961. The next prime is 413004013043. The reversal of 413004013002 is 200310400314.

It is an interprime number because it is at equal distance from previous prime (413004012961) and next prime (413004013043).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 34932252 + ... + 34944072.

It is an arithmetic number, because the mean of its divisors is an integer number (8678884860).

Almost surely, 2^413004013002 is an apocalyptic number.

413004013002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413004013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555448631040).

413004013002 is an abundant number, since it is smaller than the sum of its proper divisors (697893249078).

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

413004013002 is a wasteful number, since it uses less digits than its factorization.

413004013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17293 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 413004013002 its reverse (200310400314), we get a palindrome (613314413316).

The spelling of 413004013002 in words is "four hundred thirteen billion, four million, thirteen thousand, two".