414031102004 has 12 divisors (see below), whose sum is σ = 780289384644. Its totient is φ = 191091277824.

The previous prime is 414031101983. The next prime is 414031102007. The reversal of 414031102004 is 400201130414.

It can be written as a sum of positive squares in 2 ways, for example, as 33771412900 + 380259689104 = 183770^2 + 616652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031102007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3981068237 + ... + 3981068340.

It is an arithmetic number, because the mean of its divisors is an integer number (65024115387).

Almost surely, 2^414031102004 is an apocalyptic number.

It is an amenable number.

414031102004 is a deficient number, since it is larger than the sum of its proper divisors (366258282640).

414031102004 is a wasteful number, since it uses less digits than its factorization.

414031102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962136594 (or 7962136592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414031102004 its reverse (400201130414), we get a palindrome (814232232418).

The spelling of 414031102004 in words is "four hundred fourteen billion, thirty-one million, one hundred two thousand, four".