414013444431 has 32 divisors (see below), whose sum is σ = 577850499072. Its totient is φ = 263346266880.

The previous prime is 414013444423. The next prime is 414013444441. The reversal of 414013444431 is 134444310414.

It is not a de Polignac number, because 414013444431 - 2³ = 414013444423 is a prime.

It is a super-2 number, since 2×414013444431² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414013444392 and 414013444401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013444441) 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, 20513061 + ... + 20533233.

It is an arithmetic number, because the mean of its divisors is an integer number (18057828096).

Almost surely, 2^414013444431 is an apocalyptic number.

414013444431 is a deficient number, since it is larger than the sum of its proper divisors (163837054641).

414013444431 is a wasteful number, since it uses less digits than its factorization.

414013444431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23303.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 414013444431 its reverse (134444310414), we get a palindrome (548457754845).

The spelling of 414013444431 in words is "four hundred fourteen billion, thirteen million, four hundred forty-four thousand, four hundred thirty-one".