414110240124 has 192 divisors, whose sum is σ = 1197045964800. Its totient is φ = 108766893312.

The previous prime is 414110240059. The next prime is 414110240129. The reversal of 414110240124 is 421042011414.

414110240124 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 414110240094 and 414110240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414110240129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22371457 + ... + 22389959.

It is an arithmetic number, because the mean of its divisors is an integer number (6234614400).

Almost surely, 2^414110240124 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 414110240124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598522982400).

414110240124 is an abundant number, since it is smaller than the sum of its proper divisors (782935724676).

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

414110240124 is a wasteful number, since it uses less digits than its factorization.

414110240124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952 (or 18950 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414110240124 its reverse (421042011414), we get a palindrome (835152251538).

The spelling of 414110240124 in words is "four hundred fourteen billion, one hundred ten million, two hundred forty thousand, one hundred twenty-four".