414420403225 has 24 divisors (see below), whose sum is σ = 526774018680. Its totient is φ = 323320504320.

The previous prime is 414420403213. The next prime is 414420403259. The reversal of 414420403225 is 522304024414.

It can be written as a sum of positive squares in 12 ways, for example, as 95896747584 + 318523655641 = 309672^2 + 564379^2 .

It is not a de Polignac number, because 414420403225 - 2⁹ = 414420402713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113304 + ... + 1438153.

It is an arithmetic number, because the mean of its divisors is an integer number (21948917445).

Almost surely, 2^414420403225 is an apocalyptic number.

It is an amenable number.

414420403225 is a deficient number, since it is larger than the sum of its proper divisors (112353615455).

414420403225 is a wasteful number, since it uses less digits than its factorization.

414420403225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551629 (or 2551624 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 414420403225 its reverse (522304024414), we get a palindrome (936724427639).

The spelling of 414420403225 in words is "four hundred fourteen billion, four hundred twenty million, four hundred three thousand, two hundred twenty-five".