406417455616 has 40 divisors (see below), whose sum is σ = 813449068740. Its totient is φ = 202856398848.

The previous prime is 406417455589. The next prime is 406417455643. The reversal of 406417455616 is 616554714604.

It is an interprime number because it is at equal distance from previous prime (406417455589) and next prime (406417455643).

It can be written as a sum of positive squares in 2 ways, for example, as 403987360000 + 2430095616 = 635600^2 + 49296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 406417455616.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392431 + ... + 983278.

Almost surely, 2^406417455616 is an apocalyptic number.

It is an amenable number.

406417455616 is an abundant number, since it is smaller than the sum of its proper divisors (407031613124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406417455616 is an equidigital number, since it uses as much as digits as its factorization.

406417455616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376304 (or 1376288 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 406417455616 in words is "four hundred six billion, four hundred seventeen million, four hundred fifty-five thousand, six hundred sixteen".