414041124 has 96 divisors (see below), whose sum is σ = 1180440576. Its totient is φ = 110373120.

The previous prime is 414041119. The next prime is 414041143. The reversal of 414041124 is 421140414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 414041124.

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, 76599 + ... + 81825.

It is an arithmetic number, because the mean of its divisors is an integer number (12296256).

Almost surely, 2^414041124 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 414041124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590220288).

414041124 is an abundant number, since it is smaller than the sum of its proper divisors (766399452).

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

414041124 is a wasteful number, since it uses less digits than its factorization.

414041124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414041124 is about 20348.0004914488. Note that the first 3 decimals coincide. The cubic root of 414041124 is about 745.3286683983.

Adding to 414041124 its reverse (421140414), we get a palindrome (835181538).

The spelling of 414041124 in words is "four hundred fourteen million, forty-one thousand, one hundred twenty-four".