414241102324 has 48 divisors (see below), whose sum is σ = 855785226240. Its totient is φ = 171688992480.

The previous prime is 414241102241. The next prime is 414241102337. The reversal of 414241102324 is 423201142414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414241102292 and 414241102301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130247 + ... + 1451185.

It is an arithmetic number, because the mean of its divisors is an integer number (17828858880).

Almost surely, 2^414241102324 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 414241102324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427892613120).

414241102324 is an abundant number, since it is smaller than the sum of its proper divisors (441544123916).

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

414241102324 is a wasteful number, since it uses less digits than its factorization.

414241102324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322468 (or 322466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414241102324 its reverse (423201142414), we get a palindrome (837442244738).

The spelling of 414241102324 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred two thousand, three hundred twenty-four".