4314431900457 has 32 divisors (see below), whose sum is σ = 7307319571200. Its totient is φ = 2464558959744.

The previous prime is 4314431900407. The next prime is 4314431900489. The reversal of 4314431900457 is 7540091344134.

It is a happy number.

4314431900457 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 4 + 3 + 190 + 0 + 457 = 666.

It is not a de Polignac number, because 4314431900457 - 2¹⁹ = 4314431376169 is a prime.

It is a super-2 number, since 2×4314431900457² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314431900407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3283198 + ... + 4405479.

It is an arithmetic number, because the mean of its divisors is an integer number (228353736600).

Almost surely, 2^{4314431900457} is an apocalyptic number.

It is an amenable number.

4314431900457 is a deficient number, since it is larger than the sum of its proper divisors (2992887670743).

4314431900457 is a wasteful number, since it uses less digits than its factorization.

4314431900457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691662 (or 7691656 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4314431900457 in words is "four trillion, three hundred fourteen billion, four hundred thirty-one million, nine hundred thousand, four hundred fifty-seven".