10416279321 has 126 divisors (see below), whose sum is σ = 19317671070. Its totient is φ = 5596480512.

The previous prime is 10416279299. The next prime is 10416279397. The reversal of 10416279321 is 12397261401.

10416279321 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 627 + 9 + 3 + 21 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3214890000 + 7201389321 = 56700^2 + 84861^2 .

It is not a de Polignac number, because 10416279321 - 2¹⁰ = 10416278297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10416279221) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 10322865 + ... + 10323873.

Almost surely, 2^10416279321 is an apocalyptic number.

It is an amenable number.

10416279321 is a deficient number, since it is larger than the sum of its proper divisors (8901391749).

10416279321 is an equidigital number, since it uses as much as digits as its factorization.

10416279321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10416279321 in words is "ten billion, four hundred sixteen million, two hundred seventy-nine thousand, three hundred twenty-one".