414104314404 has 72 divisors (see below), whose sum is σ = 1112481826848. Its totient is φ = 118881607680.

The previous prime is 414104314391. The next prime is 414104314409. The reversal of 414104314404 is 404413401414.

It is not an unprimeable number, because it can be changed into a prime (414104314409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297437 + ... + 4392740.

It is an arithmetic number, because the mean of its divisors is an integer number (15451136484).

Almost surely, 2^414104314404 is an apocalyptic number.

414104314404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414104314404 is an abundant number, since it is smaller than the sum of its proper divisors (698377512444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414104314404 is a wasteful number, since it uses less digits than its factorization.

414104314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690233 (or 8690212 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 414104314404 its reverse (404413401414), we get a palindrome (818517715818).

The spelling of 414104314404 in words is "four hundred fourteen billion, one hundred four million, three hundred fourteen thousand, four hundred four".