4000400431 has 8 divisors (see below), whose sum is σ = 4012822800. Its totient is φ = 3987998208.

The previous prime is 4000400329. The next prime is 4000400449. The reversal of 4000400431 is 1340040004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000400431 - 2²³ = 3992011823 is a prime.

It is a super-2 number, since 2×4000400431² = 32006407216689971522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000400491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455520 + ... + 464218.

It is an arithmetic number, because the mean of its divisors is an integer number (501602850).

Almost surely, 2^4000400431 is an apocalyptic number.

4000400431 is a deficient number, since it is larger than the sum of its proper divisors (12422369).

4000400431 is an equidigital number, since it uses as much as digits as its factorization.

4000400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4000400431 is about 63248.7188091585. The cubic root of 4000400431 is about 1587.4540205833.

Adding to 4000400431 its reverse (1340040004), we get a palindrome (5340440435).

The spelling of 4000400431 in words is "four billion, four hundred thousand, four hundred thirty-one".