414350011101225 has 24 divisors (see below), whose sum is σ = 685309714558560. Its totient is φ = 220905695317120.

The previous prime is 414350011101193. The next prime is 414350011101239. The reversal of 414350011101225 is 522101110053414.

It is not a de Polignac number, because 414350011101225 - 2⁵ = 414350011101193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414350011101192 and 414350011101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012009839 + ... + 1012419188.

It is an arithmetic number, because the mean of its divisors is an integer number (28554571439940).

Almost surely, 2^{414350011101225} is an apocalyptic number.

It is an amenable number.

414350011101225 is a deficient number, since it is larger than the sum of its proper divisors (270959703457335).

414350011101225 is a wasteful number, since it uses less digits than its factorization.

414350011101225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024431769 (or 2024431764 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 414350011101225 its reverse (522101110053414), we get a palindrome (936451121154639).

The spelling of 414350011101225 in words is "four hundred fourteen trillion, three hundred fifty billion, eleven million, one hundred one thousand, two hundred twenty-five".