413105561000 has 128 divisors (see below), whose sum is σ = 1055168674560. Its totient is φ = 150131488000.

The previous prime is 413105560999. The next prime is 413105561021. The reversal of 413105561000 is 165501314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20306834 + ... + 20327166.

It is an arithmetic number, because the mean of its divisors is an integer number (8243505270).

Almost surely, 2^413105561000 is an apocalyptic number.

413105561000 is a gapful number since it is divisible by the number (40) 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 413105561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527584337280).

413105561000 is an abundant number, since it is smaller than the sum of its proper divisors (642063113560).

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

413105561000 is a wasteful number, since it uses less digits than its factorization.

413105561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22212 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 413105561000 in words is "four hundred thirteen billion, one hundred five million, five hundred sixty-one thousand".