4108938201 has 27 divisors (see below), whose sum is σ = 6211087519. Its totient is φ = 2617372032.

The previous prime is 4108938193. The next prime is 4108938203. The reversal of 4108938201 is 1028398014.

The square root of 4108938201 is 64101.

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

4108938201 is a `hidden beast` number, since 410 + 8 + 9 + 38 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79227801 + 4029710400 = 8901^2 + 63480^2 .

It is not a de Polignac number, because 4108938201 - 2³ = 4108938193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4108938203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4422505 + ... + 4423433.

Almost surely, 2^4108938201 is an apocalyptic number.

4108938201 is the 64101-st square number.

4108938201 is the 32051-st centered octagonal number.

It is an amenable number.

4108938201 is a deficient number, since it is larger than the sum of its proper divisors (2102149318).

4108938201 is an frugal number, since it uses more digits than its factorization.

4108938201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 4108938201 is about 1601.6828908919.

Multiplying 4108938201 by its sum of digits (36), we get a square (147921775236 = 384606²).

The spelling of 4108938201 in words is "four billion, one hundred eight million, nine hundred thirty-eight thousand, two hundred one".