414031320044 has 24 divisors (see below), whose sum is σ = 769051468080. Its totient is φ = 194361878016.

The previous prime is 414031320041. The next prime is 414031320091. The reversal of 414031320044 is 440023130414.

It is a junction number, because it is equal to n+sod(n) for n = 414031319995 and 414031320022.

It is not an unprimeable number, because it can be changed into a prime (414031320041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7415582 + ... + 7471205.

It is an arithmetic number, because the mean of its divisors is an integer number (32043811170).

Almost surely, 2^414031320044 is an apocalyptic number.

It is an amenable number.

414031320044 is a deficient number, since it is larger than the sum of its proper divisors (355020148036).

414031320044 is a wasteful number, since it uses less digits than its factorization.

414031320044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887217 (or 14887215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414031320044 its reverse (440023130414), we get a palindrome (854054450458).

The spelling of 414031320044 in words is "four hundred fourteen billion, thirty-one million, three hundred twenty thousand, forty-four".