441121343121144 has 96 divisors (see below), whose sum is σ = 1365379343677440. Its totient is φ = 126034322587200.

The previous prime is 441121343121127. The next prime is 441121343121161.

441121343121144 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 2 + 1 + 3 + 431 + 211 + 4 + 4 = 666.

441121343121144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (441121343121127) and next prime (441121343121161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441121343121099 and 441121343121108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223737489 + ... + 225700479.

It is an arithmetic number, because the mean of its divisors is an integer number (14222701496640).

Almost surely, 2^{441121343121144} is an apocalyptic number.

It is an amenable number.

441121343121144 is an abundant number, since it is smaller than the sum of its proper divisors (924258000556296).

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

441121343121144 is a wasteful number, since it uses less digits than its factorization.

441121343121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408881 (or 2408874 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 441121343121144 in words is "four hundred forty-one trillion, one hundred twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, one hundred forty-four".