402456804201 has 10 divisors (see below), whose sum is σ = 601200905162. Its totient is φ = 268304536080.

The previous prime is 402456804149. The next prime is 402456804227. The reversal of 402456804201 is 102408654204.

402456804201 is a `hidden beast` number, since 402 + 45 + 6 + 8 + 0 + 4 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 384122290176 + 18334514025 = 619776^2 + 135405^2 .

It is not a de Polignac number, because 402456804201 - 2⁷ = 402456804073 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (402456804241) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2484301180 + ... + 2484301341.

Almost surely, 2^402456804201 is an apocalyptic number.

It is an amenable number.

402456804201 is a deficient number, since it is larger than the sum of its proper divisors (198744100961).

402456804201 is an equidigital number, since it uses as much as digits as its factorization.

402456804201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968602533 (or 4968602524 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 402456804201 in words is "four hundred two billion, four hundred fifty-six million, eight hundred four thousand, two hundred one".