4057971201 has 24 divisors (see below), whose sum is σ = 5914596480. Its totient is φ = 2680927200.

The previous prime is 4057971161. The next prime is 4057971209. The reversal of 4057971201 is 1021797504.

It is a happy number.

4057971201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4057971201 - 2²⁵ = 4024416769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4057971209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449391 + ... + 458331.

It is an arithmetic number, because the mean of its divisors is an integer number (246441520).

Almost surely, 2^4057971201 is an apocalyptic number.

It is an amenable number.

4057971201 is a deficient number, since it is larger than the sum of its proper divisors (1856625279).

4057971201 is a wasteful number, since it uses less digits than its factorization.

4057971201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9397 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 4057971201 is about 63702.2071909600. The cubic root of 4057971201 is about 1595.0329295521.

The spelling of 4057971201 in words is "four billion, fifty-seven million, nine hundred seventy-one thousand, two hundred one".