38404060804201 has 9 divisors (see below), whose sum is σ = 38571042702661. Its totient is φ = 38237798781472.

The previous prime is 38404060804183. The next prime is 38404060804253. The reversal of 38404060804201 is 10240806040483.

It is a happy number.

The square root of 38404060804201 is 6197101.

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

It can be written as a sum of positive squares in 4 ways, for example, as 826915603801 + 37577145200400 = 909349^2 + 6130020^2 .

It is not a de Polignac number, because 38404060804201 - 2⁵ = 38404060804169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38404060801201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1443911235 + ... + 1443937831.

Almost surely, 2^{38404060804201} is an apocalyptic number.

38404060804201 is the 6197101-st square number.

38404060804201 is the 3098551-st centered octagonal number.

It is an amenable number.

38404060804201 is a deficient number, since it is larger than the sum of its proper divisors (166981898460).

38404060804201 is an frugal number, since it uses more digits than its factorization.

38404060804201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53660 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

Adding to 38404060804201 its reverse (10240806040483), we get a palindrome (48644866844684).

The spelling of 38404060804201 in words is "thirty-eight trillion, four hundred four billion, sixty million, eight hundred four thousand, two hundred one".