413004034100 has 72 divisors (see below), whose sum is σ = 1025712350208. Its totient is φ = 141399216000.

The previous prime is 413004034081. The next prime is 413004034111. The reversal of 413004034100 is 1430400314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 69869 + ... + 911531.

It is an arithmetic number, because the mean of its divisors is an integer number (14246004864).

Almost surely, 2^413004034100 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 413004034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512856175104).

413004034100 is an abundant number, since it is smaller than the sum of its proper divisors (612708316108).

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

413004034100 is a wasteful number, since it uses less digits than its factorization.

413004034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842385 (or 842378 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 413004034100 its reverse (1430400314), we get a palindrome (414434434414).

The spelling of 413004034100 in words is "four hundred thirteen billion, four million, thirty-four thousand, one hundred".