414241113120 has 384 divisors, whose sum is σ = 1372529152512. Its totient is φ = 104907571200.

The previous prime is 414241113101. The next prime is 414241113133. The reversal of 414241113120 is 21311142414.

It is a happy number.

It is a super-2 number, since 2×414241113120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148418925 + ... + 148421715.

It is an arithmetic number, because the mean of its divisors is an integer number (3574294668).

Almost surely, 2^414241113120 is an apocalyptic number.

414241113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414241113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686264576256).

414241113120 is an abundant number, since it is smaller than the sum of its proper divisors (958288039392).

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

414241113120 is a wasteful number, since it uses less digits than its factorization.

414241113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

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

Adding to 414241113120 its reverse (21311142414), we get a palindrome (435552255534).

The spelling of 414241113120 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred thirteen thousand, one hundred twenty".