4038958400656 has 15 divisors (see below), whose sum is σ = 7825497476601. Its totient is φ = 2019475180896.

The previous prime is 4038958400629. The next prime is 4038958400669. The reversal of 4038958400656 is 6560048598304.

The square root of 4038958400656 is 2009716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2745370631056 + 1293587769600 = 1656916^2 + 1137360^2 .

It is a super-3 number, since 3×4038958400656³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4038958400656.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7787650 + ... + 8290078.

Almost surely, 2^{4038958400656} is an apocalyptic number.

4038958400656 is the 2009716-th square number.

It is an amenable number.

4038958400656 is a deficient number, since it is larger than the sum of its proper divisors (3786539075945).

4038958400656 is an frugal number, since it uses more digits than its factorization.

4038958400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004866 (or 502431 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 4038958400656 in words is "four trillion, thirty-eight billion, nine hundred fifty-eight million, four hundred thousand, six hundred fifty-six".