414240210024 has 128 divisors (see below), whose sum is σ = 1076427325440. Its totient is φ = 132733423872.

The previous prime is 414240210019. The next prime is 414240210047. The reversal of 414240210024 is 420012042414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414240209976 and 414240210003.

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 31 ways as a sum of consecutive naturals, for example, 36385437 + ... + 36396819.

It is an arithmetic number, because the mean of its divisors is an integer number (8409588480).

Almost surely, 2^414240210024 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 414240210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538213662720).

414240210024 is an abundant number, since it is smaller than the sum of its proper divisors (662187115416).

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

414240210024 is a wasteful number, since it uses less digits than its factorization.

414240210024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 414240210024 its reverse (420012042414), we get a palindrome (834252252438).

The spelling of 414240210024 in words is "four hundred fourteen billion, two hundred forty million, two hundred ten thousand, twenty-four".