4004200431 has 48 divisors (see below), whose sum is σ = 7223244288. Its totient is φ = 2076580800.

The previous prime is 4004200427. The next prime is 4004200439. The reversal of 4004200431 is 1340024004.

It is not a de Polignac number, because 4004200431 - 2² = 4004200427 is a prime.

It is a super-2 number, since 2×4004200431² = 32067242183241171522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004200439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432705 + ... + 441861.

It is an arithmetic number, because the mean of its divisors is an integer number (150484256).

Almost surely, 2^4004200431 is an apocalyptic number.

4004200431 is a deficient number, since it is larger than the sum of its proper divisors (3219043857).

4004200431 is a wasteful number, since it uses less digits than its factorization.

4004200431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4004200431 is about 63278.7518129111. The cubic root of 4004200431 is about 1587.9565049674.

Adding to 4004200431 its reverse (1340024004), we get a palindrome (5344224435).

The spelling of 4004200431 in words is "four billion, four million, two hundred thousand, four hundred thirty-one".