441349515904 has 128 divisors (see below), whose sum is σ = 983168305920. Its totient is φ = 195628093440.

The previous prime is 441349515889. The next prime is 441349515931. The reversal of 441349515904 is 409515943144.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18318714 + ... + 18342790.

It is an arithmetic number, because the mean of its divisors is an integer number (7681002390).

Almost surely, 2^441349515904 is an apocalyptic number.

441349515904 is a gapful number since it is divisible by the number (44) 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 441349515904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491584152960).

441349515904 is an abundant number, since it is smaller than the sum of its proper divisors (541818790016).

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

441349515904 is a wasteful number, since it uses less digits than its factorization.

441349515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24426 (or 24414 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 441349515904 in words is "four hundred forty-one billion, three hundred forty-nine million, five hundred fifteen thousand, nine hundred four".