413141254242444 has 288 divisors, whose sum is σ = 1353015198778880. Its totient is φ = 103222677970944.

The previous prime is 413141254242407. The next prime is 413141254242469. The reversal of 413141254242444 is 444242452141314.

413141254242444 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 125 + 42 + 42 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413141254242444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2984343852 + ... + 2984482284.

Almost surely, 2^{413141254242444} 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 413141254242444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676507599389440).

413141254242444 is an abundant number, since it is smaller than the sum of its proper divisors (939873944536436).

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

413141254242444 is a wasteful number, since it uses less digits than its factorization.

413141254242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186429 (or 186424 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 45.

The spelling of 413141254242444 in words is "four hundred thirteen trillion, one hundred forty-one billion, two hundred fifty-four million, two hundred forty-two thousand, four hundred forty-four".