441400040004144 has 40 divisors (see below), whose sum is σ = 1227997547192752. Its totient is φ = 135815396924160.

The previous prime is 441400040004137. The next prime is 441400040004199.

441400040004144 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353685928867 + ... + 353685930114.

Almost surely, 2^{441400040004144} is an apocalyptic number.

It is an amenable number.

441400040004144 is an abundant number, since it is smaller than the sum of its proper divisors (786597507188608).

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

441400040004144 is a wasteful number, since it uses less digits than its factorization.

441400040004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707371859005 (or 707371858999 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 441400040004144 in words is "four hundred forty-one trillion, four hundred billion, forty million, four thousand, one hundred forty-four".