441621404126144 has 42 divisors (see below), whose sum is σ = 963252471232632. Its totient is φ = 200737001872000.

The previous prime is 441621404126113. The next prime is 441621404126197.

441621404126144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 441621404126095 and 441621404126104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28513770932 + ... + 28513786419.

It is an arithmetic number, because the mean of its divisors is an integer number (22934582648396).

Almost surely, 2^{441621404126144} is an apocalyptic number.

441621404126144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441621404126144 is an abundant number, since it is smaller than the sum of its proper divisors (521631067106488).

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

441621404126144 is a wasteful number, since it uses less digits than its factorization.

441621404126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57027557385 (or 57027557364 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

It can be divided in two parts, 44162140 and 4126144, that added together give a palindrome (48288284).

The spelling of 441621404126144 in words is "four hundred forty-one trillion, six hundred twenty-one billion, four hundred four million, one hundred twenty-six thousand, one hundred forty-four".