4001444441004 has 24 divisors (see below), whose sum is σ = 9449194104000. Its totient is φ = 1317744755344.

The previous prime is 4001444440991. The next prime is 4001444441017.

4001444441004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4001444440991) and next prime (4001444441017).

It is a super-2 number, since 2×4001444441004² (a number of 26 digits) contains 22 as substring.

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, 2008756254 + ... + 2008758245.

It is an arithmetic number, because the mean of its divisors is an integer number (393716421000).

Almost surely, 2^{4001444441004} is an apocalyptic number.

It is an amenable number.

4001444441004 is an abundant number, since it is smaller than the sum of its proper divisors (5447749662996).

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

4001444441004 is a wasteful number, since it uses less digits than its factorization.

4001444441004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017514589 (or 4017514587 counting only the distinct ones).

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

The spelling of 4001444441004 in words is "four trillion, one billion, four hundred forty-four million, four hundred forty-one thousand, four".