4320400040431 has 32 divisors (see below), whose sum is σ = 4662262756800. Its totient is φ = 3996374215680.

The previous prime is 4320400040413. The next prime is 4320400040449. The reversal of 4320400040431 is 1340400040234.

It is an interprime number because it is at equal distance from previous prime (4320400040413) and next prime (4320400040449).

It is a cyclic number.

It is not a de Polignac number, because 4320400040431 - 2²⁷ = 4320265822703 is a prime.

It is a super-2 number, since 2×4320400040431² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4320400040396 and 4320400040405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320400040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10343761 + ... + 10753333.

It is an arithmetic number, because the mean of its divisors is an integer number (145695711150).

Almost surely, 2^{4320400040431} is an apocalyptic number.

4320400040431 is a deficient number, since it is larger than the sum of its proper divisors (341862716369).

4320400040431 is a wasteful number, since it uses less digits than its factorization.

4320400040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409819.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4320400040431 its reverse (1340400040234), we get a palindrome (5660800080665).

The spelling of 4320400040431 in words is "four trillion, three hundred twenty billion, four hundred million, forty thousand, four hundred thirty-one".