414121320424 has 64 divisors (see below), whose sum is σ = 941273136000. Its totient is φ = 166743619584.

The previous prime is 414121320359. The next prime is 414121320439. The reversal of 414121320424 is 424023121414.

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 = 414121320392 and 414121320401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149652 + ... + 922300.

It is an arithmetic number, because the mean of its divisors is an integer number (14707392750).

Almost surely, 2^414121320424 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 414121320424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470636568000).

414121320424 is an abundant number, since it is smaller than the sum of its proper divisors (527151815576).

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

414121320424 is a wasteful number, since it uses less digits than its factorization.

414121320424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773242 (or 773238 counting only the distinct ones).

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

Adding to 414121320424 its reverse (424023121414), we get a palindrome (838144441838).

The spelling of 414121320424 in words is "four hundred fourteen billion, one hundred twenty-one million, three hundred twenty thousand, four hundred twenty-four".