4287662898417 has 40 divisors (see below), whose sum is σ = 6626228063400. Its totient is φ = 2759734285056.

The previous prime is 4287662898373. The next prime is 4287662898427. The reversal of 4287662898417 is 7148982667824.

4287662898417 is a `hidden beast` number, since 4 + 2 + 8 + 76 + 62 + 89 + 8 + 417 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285258537216 + 4002404361201 = 534096^2 + 2000601^2 .

It is not a de Polignac number, because 4287662898417 - 2¹⁰ = 4287662897393 is a prime.

It is a super-2 number, since 2×4287662898417² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4287662898427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65995573 + ... + 66060509.

It is an arithmetic number, because the mean of its divisors is an integer number (165655701585).

Almost surely, 2^{4287662898417} is an apocalyptic number.

It is an amenable number.

4287662898417 is a deficient number, since it is larger than the sum of its proper divisors (2338565164983).

4287662898417 is a wasteful number, since it uses less digits than its factorization.

4287662898417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93087 (or 93078 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 4287662898417 in words is "four trillion, two hundred eighty-seven billion, six hundred sixty-two million, eight hundred ninety-eight thousand, four hundred seventeen".