414101114304 has 112 divisors (see below), whose sum is σ = 1116624607488. Its totient is φ = 135415369728.

The previous prime is 414101114293. The next prime is 414101114311. The reversal of 414101114304 is 403411101414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018184 + ... + 2213880.

Almost surely, 2^414101114304 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 414101114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558312303744).

414101114304 is an abundant number, since it is smaller than the sum of its proper divisors (702523493184).

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

414101114304 is a wasteful number, since it uses less digits than its factorization.

414101114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195922 (or 195912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414101114304 its reverse (403411101414), we get a palindrome (817512215718).

The spelling of 414101114304 in words is "four hundred fourteen billion, one hundred one million, one hundred fourteen thousand, three hundred four".