441326623144 has 64 divisors (see below), whose sum is σ = 929540448000. Its totient is φ = 196334638720.

The previous prime is 441326623123. The next prime is 441326623193.

441326623144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441326623097 and 441326623106.

It is an unprimeable number.

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, 59532 + ... + 941380.

It is an arithmetic number, because the mean of its divisors is an integer number (14524069500).

Almost surely, 2^441326623144 is an apocalyptic number.

441326623144 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 441326623144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464770224000).

441326623144 is an abundant number, since it is smaller than the sum of its proper divisors (488213824856).

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

441326623144 is a wasteful number, since it uses less digits than its factorization.

441326623144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881935 (or 881909 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 441326623144 in words is "four hundred forty-one billion, three hundred twenty-six million, six hundred twenty-three thousand, one hundred forty-four".