441909499680 has 1152 divisors, whose sum is σ = 1806968217600. Its totient is φ = 97177190400.

The previous prime is 441909499651. The next prime is 441909499693. The reversal of 441909499680 is 86994909144.

441909499680 is a `hidden beast` number, since 441 + 90 + 9 + 49 + 9 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728021937 + ... + 728022543.

It is an arithmetic number, because the mean of its divisors is an integer number (1568548800).

Almost surely, 2^441909499680 is an apocalyptic number.

441909499680 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 441909499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903484108800).

441909499680 is an abundant number, since it is smaller than the sum of its proper divisors (1365058717920).

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

441909499680 is a wasteful number, since it uses less digits than its factorization.

441909499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 441909499680 in words is "four hundred forty-one billion, nine hundred nine million, four hundred ninety-nine thousand, six hundred eighty".