441019418744961 has 96 divisors (see below), whose sum is σ = 731319559027200. Its totient is φ = 250875886141440.

The previous prime is 441019418744929. The next prime is 441019418745001. The reversal of 441019418744961 is 169447814910144.

441019418744961 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 1 + 9 + 4 + 187 + 449 + 6 + 1 = 666.

It is not a de Polignac number, because 441019418744961 - 2⁵ = 441019418744929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (441019418742961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41886158545 + ... + 41886169073.

It is an arithmetic number, because the mean of its divisors is an integer number (7617912073200).

Almost surely, 2^{441019418744961} is an apocalyptic number.

It is an amenable number.

441019418744961 is a deficient number, since it is larger than the sum of its proper divisors (290300140282239).

441019418744961 is a wasteful number, since it uses less digits than its factorization.

441019418744961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 441019418744961 in words is "four hundred forty-one trillion, nineteen billion, four hundred eighteen million, seven hundred forty-four thousand, nine hundred sixty-one".