441354144 has 96 divisors (see below), whose sum is σ = 1444455936. Its totient is φ = 114635520.

The previous prime is 441354139. The next prime is 441354149. The reversal of 441354144 is 441453144.

It is an interprime number because it is at equal distance from previous prime (441354139) and next prime (441354149).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (441354149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22462 + ... + 37245.

It is an arithmetic number, because the mean of its divisors is an integer number (15046416).

Almost surely, 2^441354144 is an apocalyptic number.

441354144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441354144 is an abundant number, since it is smaller than the sum of its proper divisors (1003101792).

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

441354144 is a wasteful number, since it uses less digits than its factorization.

441354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59738 (or 59730 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 441354144 is about 21008.4303078550. The cubic root of 441354144 is about 761.3699575037.

The spelling of 441354144 in words is "four hundred forty-one million, three hundred fifty-four thousand, one hundred forty-four".