441138454578304 has 128 divisors (see below), whose sum is σ = 1007706706778880. Its totient is φ = 188433479270400.

The previous prime is 441138454578301. The next prime is 441138454578317. The reversal of 441138454578304 is 403875454831144.

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

It is a super-2 number, since 2×441138454578304² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441138454578301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438917052 + ... + 439920964.

It is an arithmetic number, because the mean of its divisors is an integer number (7872708646710).

Almost surely, 2^{441138454578304} 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 441138454578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503853353389440).

441138454578304 is an abundant number, since it is smaller than the sum of its proper divisors (566568252200576).

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

441138454578304 is a wasteful number, since it uses less digits than its factorization.

441138454578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005558 (or 1005546 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 61.

The spelling of 441138454578304 in words is "four hundred forty-one trillion, one hundred thirty-eight billion, four hundred fifty-four million, five hundred seventy-eight thousand, three hundred four".