414288470097 has 16 divisors (see below), whose sum is σ = 614781952960. Its totient is φ = 275732748000.

The previous prime is 414288470027. The next prime is 414288470129. The reversal of 414288470097 is 790074882414.

414288470097 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 88 + 470 + 0 + 97 = 666.

It is not a de Polignac number, because 414288470097 - 2¹⁴ = 414288453713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414288470027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12749179 + ... + 12781632.

It is an arithmetic number, because the mean of its divisors is an integer number (38423872060).

Almost surely, 2^414288470097 is an apocalyptic number.

It is an amenable number.

414288470097 is a deficient number, since it is larger than the sum of its proper divisors (200493482863).

414288470097 is a wasteful number, since it uses less digits than its factorization.

414288470097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25531421 (or 25531415 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 414288470097 in words is "four hundred fourteen billion, two hundred eighty-eight million, four hundred seventy thousand, ninety-seven".