4004004440399 has 16 divisors (see below), whose sum is σ = 4153540140960. Its totient is φ = 3856802273280.

The previous prime is 4004004440383. The next prime is 4004004440411. The reversal of 4004004440399 is 9930444004004.

It is a cyclic number.

It is not a de Polignac number, because 4004004440399 - 2⁴ = 4004004440383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004440699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712739 + ... + 2918219.

It is an arithmetic number, because the mean of its divisors is an integer number (259596258810).

Almost surely, 2^{4004004440399} is an apocalyptic number.

4004004440399 is a deficient number, since it is larger than the sum of its proper divisors (149535700561).

4004004440399 is a wasteful number, since it uses less digits than its factorization.

4004004440399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206010.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 4004004440399 in words is "four trillion, four billion, four million, four hundred forty thousand, three hundred ninety-nine".