4000407201 has 12 divisors (see below), whose sum is σ = 6603846912. Its totient is φ = 2285946936.

The previous prime is 4000407179. The next prime is 4000407211. The reversal of 4000407201 is 1027040004.

It is a happy number.

It is not a de Polignac number, because 4000407201 - 2⁶ = 4000407137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000407211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31749201 + ... + 31749326.

It is an arithmetic number, because the mean of its divisors is an integer number (550320576).

Almost surely, 2^4000407201 is an apocalyptic number.

It is an amenable number.

4000407201 is a deficient number, since it is larger than the sum of its proper divisors (2603439711).

4000407201 is a wasteful number, since it uses less digits than its factorization.

4000407201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63498540 (or 63498537 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4000407201 is about 63248.7723280065. The cubic root of 4000407201 is about 1587.4549160818.

Adding to 4000407201 its reverse (1027040004), we get a palindrome (5027447205).

The spelling of 4000407201 in words is "four billion, four hundred seven thousand, two hundred one".