414241112404 has 96 divisors (see below), whose sum is σ = 874118278656. Its totient is φ = 167927316480.

The previous prime is 414241112393. The next prime is 414241112413. The reversal of 414241112404 is 404211142414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123247684 + ... + 123251044.

It is an arithmetic number, because the mean of its divisors is an integer number (9105398736).

Almost surely, 2^414241112404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414241112404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437059139328).

414241112404 is an abundant number, since it is smaller than the sum of its proper divisors (459877166252).

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

414241112404 is a wasteful number, since it uses less digits than its factorization.

414241112404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 414241112404 its reverse (404211142414), we get a palindrome (818452254818).

The spelling of 414241112404 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred twelve thousand, four hundred four".