4038583638404 has 12 divisors (see below), whose sum is σ = 8077167276864. Its totient is φ = 1730821559304.

The previous prime is 4038583638367. The next prime is 4038583638409. The reversal of 4038583638404 is 4048363858304.

4038583638404 is an admirable number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4038583638404.

It is not an unprimeable number, because it can be changed into a prime (4038583638409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72117564944 + ... + 72117564999.

It is an arithmetic number, because the mean of its divisors is an integer number (673097273072).

Almost surely, 2^{4038583638404} is an apocalyptic number.

It is an amenable number.

4038583638404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4038583638404 is a wasteful number, since it uses less digits than its factorization.

4038583638404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144235129954 (or 144235129952 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 56.

The spelling of 4038583638404 in words is "four trillion, thirty-eight billion, five hundred eighty-three million, six hundred thirty-eight thousand, four hundred four".