10492416640 has 48 divisors (see below), whose sum is σ = 25089630030. Its totient is φ = 4195930112.

The previous prime is 10492416631. The next prime is 10492416647. The reversal of 10492416640 is 4661429401.

It can be written as a sum of positive squares in 3 ways, for example, as 5804001856 + 4688414784 = 76184^2 + 68472^2 .

It is a super-2 number, since 2×10492416640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10492416640.

It is not an unprimeable number, because it can be changed into a prime (10492416647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2589336 + ... + 2593384.

Almost surely, 2^10492416640 is an apocalyptic number.

10492416640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10492416640 is an abundant number, since it is smaller than the sum of its proper divisors (14597213390).

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

10492416640 is an frugal number, since it uses more digits than its factorization.

10492416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 10492416640 in words is "ten billion, four hundred ninety-two million, four hundred sixteen thousand, six hundred forty".