441011110144 has 72 divisors (see below), whose sum is σ = 967658297760. Its totient is φ = 198929203200.

The previous prime is 441011110103. The next prime is 441011110171.

It is a happy number.

441011110144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228849 + ... + 966640.

It is an arithmetic number, because the mean of its divisors is an integer number (13439698580).

Almost surely, 2^441011110144 is an apocalyptic number.

441011110144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441011110144 is an abundant number, since it is smaller than the sum of its proper divisors (526647187616).

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

441011110144 is a wasteful number, since it uses less digits than its factorization.

441011110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195647 (or 1195633 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 441011 and 110144, that added together give a palindrome (551155).

The spelling of 441011110144 in words is "four hundred forty-one billion, eleven million, one hundred ten thousand, one hundred forty-four".