414031003444 has 24 divisors (see below), whose sum is σ = 726558904008. Its totient is φ = 206443130880.

The previous prime is 414031003427. The next prime is 414031003447. The reversal of 414031003444 is 444300130414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8183011600 + 405847991844 = 90460^2 + 637062^2 .

It is a super-2 number, since 2×414031003444² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031003447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4387284 + ... + 4480660.

It is an arithmetic number, because the mean of its divisors is an integer number (30273287667).

Almost surely, 2^414031003444 is an apocalyptic number.

It is an amenable number.

414031003444 is a deficient number, since it is larger than the sum of its proper divisors (312527900564).

414031003444 is a wasteful number, since it uses less digits than its factorization.

414031003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96435 (or 96433 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414031003444 its reverse (444300130414), we get a palindrome (858331133858).

The spelling of 414031003444 in words is "four hundred fourteen billion, thirty-one million, three thousand, four hundred forty-four".