414024321431 has 32 divisors (see below), whose sum is σ = 496639503360. Its totient is φ = 337642470144.

The previous prime is 414024321427. The next prime is 414024321437. The reversal of 414024321431 is 134123420414.

It is not a de Polignac number, because 414024321431 - 2² = 414024321427 is a prime.

It is a super-2 number, since 2×414024321431² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 414024321394 and 414024321403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414024321437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17222486 + ... + 17246508.

It is an arithmetic number, because the mean of its divisors is an integer number (15519984480).

Almost surely, 2^414024321431 is an apocalyptic number.

414024321431 is a deficient number, since it is larger than the sum of its proper divisors (82615181929).

414024321431 is a wasteful number, since it uses less digits than its factorization.

414024321431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25295.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414024321431 its reverse (134123420414), we get a palindrome (548147741845).

The spelling of 414024321431 in words is "four hundred fourteen billion, twenty-four million, three hundred twenty-one thousand, four hundred thirty-one".