405251414431 has 16 divisors (see below), whose sum is σ = 411742293120. Its totient is φ = 398808115200.

The previous prime is 405251414389. The next prime is 405251414443. The reversal of 405251414431 is 134414152504.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 405251414431 - 2¹⁵ = 405251381663 is a prime.

It is a super-2 number, since 2×405251414431² (a number of 24 digits) 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 (405251414231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16297450 + ... + 16322296.

It is an arithmetic number, because the mean of its divisors is an integer number (25733893320).

Almost surely, 2^405251414431 is an apocalyptic number.

405251414431 is a deficient number, since it is larger than the sum of its proper divisors (6490878689).

405251414431 is a wasteful number, since it uses less digits than its factorization.

405251414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794.

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 405251414431 its reverse (134414152504), we get a palindrome (539665566935).

The spelling of 405251414431 in words is "four hundred five billion, two hundred fifty-one million, four hundred fourteen thousand, four hundred thirty-one".