416306225288 has 36 divisors (see below), whose sum is σ = 786361710645. Its totient is φ = 206621065440.

The previous prime is 416306225287. The next prime is 416306225299. The reversal of 416306225288 is 882522603614.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 342040164964 + 74266060324 = 584842^2 + 272518^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=456238.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416306225281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 271917083 + ... + 271918613.

Almost surely, 2^416306225288 is an apocalyptic number.

It is an amenable number.

416306225288 is a deficient number, since it is larger than the sum of its proper divisors (370055485357).

416306225288 is an frugal number, since it uses more digits than its factorization.

416306225288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 416306225288 in words is "four hundred sixteen billion, three hundred six million, two hundred twenty-five thousand, two hundred eighty-eight".