441409798080 has 560 divisors, whose sum is σ = 1719913979520. Its totient is φ = 106961928192.

The previous prime is 441409798061. The next prime is 441409798147. The reversal of 441409798080 is 80897904144.

441409798080 is a `hidden beast` number, since 4 + 414 + 0 + 9 + 79 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12761289 + ... + 12795831.

Almost surely, 2^441409798080 is an apocalyptic number.

441409798080 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 441409798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859956989760).

441409798080 is an abundant number, since it is smaller than the sum of its proper divisors (1278504181440).

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

441409798080 is a wasteful number, since it uses less digits than its factorization.

441409798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34618 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 441409798080 in words is "four hundred forty-one billion, four hundred nine million, seven hundred ninety-eight thousand, eighty".