414420403224 has 64 divisors (see below), whose sum is σ = 1069565460480. Its totient is φ = 133672320000.

The previous prime is 414420403213. The next prime is 414420403259. The reversal of 414420403224 is 422304024414.

It is a junction number, because it is equal to n+sod(n) for n = 414420403191 and 414420403200.

It is a congruent number.

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, 13675209 + ... + 13705479.

It is an arithmetic number, because the mean of its divisors is an integer number (16711960320).

Almost surely, 2^414420403224 is an apocalyptic number.

It is an amenable number.

414420403224 is an abundant number, since it is smaller than the sum of its proper divisors (655145057256).

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

414420403224 is a wasteful number, since it uses less digits than its factorization.

414420403224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48712 (or 48708 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 414420403224 its reverse (422304024414), we get a palindrome (836724427638).

The spelling of 414420403224 in words is "four hundred fourteen billion, four hundred twenty million, four hundred three thousand, two hundred twenty-four".