10240630416 has 105 divisors (see below), whose sum is σ = 29780005881. Its totient is φ = 3409900416.

The previous prime is 10240630369. The next prime is 10240630429. The reversal of 10240630416 is 61403604201.

The square root of 10240630416 is 101196.

It is a perfect power (a square), and thus also a powerful number.

10240630416 is a `hidden beast` number, since 1 + 0 + 24 + 0 + 630 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 539168400 + 9701462016 = 23220^2 + 98496^2 .

It is a super-2 number, since 2×10240630416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10240630416.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10928700 + ... + 10929636.

Almost surely, 2^10240630416 is an apocalyptic number.

10240630416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10240630416 is the 101196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240630416

10240630416 is an abundant number, since it is smaller than the sum of its proper divisors (19539375465).

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

10240630416 is an frugal number, since it uses more digits than its factorization.

10240630416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10240630416 in words is "ten billion, two hundred forty million, six hundred thirty thousand, four hundred sixteen".