441164713463364 has 96 divisors (see below), whose sum is σ = 1149454888598016. Its totient is φ = 130534713550080.

The previous prime is 441164713463363. The next prime is 441164713463389. The reversal of 441164713463364 is 463364317461144.

It is a super-2 number, since 2×441164713463364² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441164713463363) 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 31 ways as a sum of consecutive naturals, for example, 4737184 + ... + 30079400.

It is an arithmetic number, because the mean of its divisors is an integer number (11973488422896).

Almost surely, 2^{441164713463364} is an apocalyptic number.

441164713463364 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 441164713463364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574727444299008).

441164713463364 is an abundant number, since it is smaller than the sum of its proper divisors (708290175134652).

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

441164713463364 is a wasteful number, since it uses less digits than its factorization.

441164713463364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345345 (or 25345343 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 57.

The spelling of 441164713463364 in words is "four hundred forty-one trillion, one hundred sixty-four billion, seven hundred thirteen million, four hundred sixty-three thousand, three hundred sixty-four".