413034000104 has 64 divisors (see below), whose sum is σ = 850744097280. Its totient is φ = 186432120000.

The previous prime is 413034000097. The next prime is 413034000149. The reversal of 413034000104 is 401000430314.

It is a happy number.

It is a super-2 number, since 2×413034000104² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66583067 + ... + 66589269.

It is an arithmetic number, because the mean of its divisors is an integer number (13292876520).

Almost surely, 2^413034000104 is an apocalyptic number.

413034000104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413034000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425372048640).

413034000104 is an abundant number, since it is smaller than the sum of its proper divisors (437710097176).

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

413034000104 is a wasteful number, since it uses less digits than its factorization.

413034000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11378 counting only the distinct ones).

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

Adding to 413034000104 its reverse (401000430314), we get a palindrome (814034430418).

The spelling of 413034000104 in words is "four hundred thirteen billion, thirty-four million, one hundred four", and thus it is an aban number.