441866388480 has 352 divisors, whose sum is σ = 1543810848768. Its totient is φ = 106976870400.

The previous prime is 441866388401. The next prime is 441866388583. The reversal of 441866388480 is 84883668144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 186361695 + ... + 186364065.

Almost surely, 2^441866388480 is an apocalyptic number.

441866388480 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 441866388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771905424384).

441866388480 is an abundant number, since it is smaller than the sum of its proper divisors (1101944460288).

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

441866388480 is a wasteful number, since it uses less digits than its factorization.

441866388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 441866388480 in words is "four hundred forty-one billion, eight hundred sixty-six million, three hundred eighty-eight thousand, four hundred eighty".