414014012055225 has 36 divisors (see below), whose sum is σ = 753701574175212. Its totient is φ = 217187678448000.

The previous prime is 414014012055047. The next prime is 414014012055253. The reversal of 414014012055225 is 522550210410414.

414014012055225 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 4 + 0 + 120 + 5 + 522 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 180853572208761 + 233160439846464 = 13448181^2 + 15269592^2 .

It is not a de Polignac number, because 414014012055225 - 2¹⁷ = 414014011924153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414014012055225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15082463946 + ... + 15082491395.

Almost surely, 2^{414014012055225} is an apocalyptic number.

414014012055225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414014012055225 is a deficient number, since it is larger than the sum of its proper divisors (339687562119987).

414014012055225 is a wasteful number, since it uses less digits than its factorization.

414014012055225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30164955418 (or 30164955410 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 414014012055225 its reverse (522550210410414), we get a palindrome (936564222465639).

The spelling of 414014012055225 in words is "four hundred fourteen trillion, fourteen billion, twelve million, fifty-five thousand, two hundred twenty-five".