38486200041 has 9 divisors (see below), whose sum is σ = 55592027959. Its totient is φ = 25657074336.

The previous prime is 38486200019. The next prime is 38486200069. The reversal of 38486200041 is 14000268483.

The square root of 38486200041 is 196179.

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., 5400045225 + 33086154816 = 73485^2 + 181896^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38486200041 - 2²⁷ = 38351982313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38486199969 and 38486200005.

It is not an unprimeable number, because it can be changed into a prime (38486200141) 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, 555841 + ... + 621233.

Almost surely, 2^38486200041 is an apocalyptic number.

38486200041 is the 196179-th square number.

38486200041 is the 98090-th centered octagonal number.

It is an amenable number.

38486200041 is a deficient number, since it is larger than the sum of its proper divisors (17105827918).

38486200041 is an frugal number, since it uses more digits than its factorization.

38486200041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130792 (or 65396 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 38486200041 by its sum of digits (36), we get a square (1385503201476 = 1177074²).

The spelling of 38486200041 in words is "thirty-eight billion, four hundred eighty-six million, two hundred thousand, forty-one".