4004433710677 has 6 divisors (see below), whose sum is σ = 4226285994198. Its totient is φ = 3793674041352.

The previous prime is 4004433710663. The next prime is 4004433710687. The reversal of 4004433710677 is 7760173344004.

It can be written as a sum of positive squares in only one way, i.e., 3257270553681 + 747163156996 = 1804791^2 + 864386^2 .

It is not a de Polignac number, because 4004433710677 - 2⁷ = 4004433710549 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 (4004433710687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5546306718 + ... + 5546307439.

It is an arithmetic number, because the mean of its divisors is an integer number (704380999033).

Almost surely, 2^{4004433710677} is an apocalyptic number.

It is an amenable number.

4004433710677 is a deficient number, since it is larger than the sum of its proper divisors (221852283521).

4004433710677 is a wasteful number, since it uses less digits than its factorization.

4004433710677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092614195 (or 11092614176 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 46.

The spelling of 4004433710677 in words is "four trillion, four billion, four hundred thirty-three million, seven hundred ten thousand, six hundred seventy-seven".