10216462400 has 42 divisors (see below), whose sum is σ = 25138886730. Its totient is φ = 4086584320.

The previous prime is 10216462397. The next prime is 10216462423. The reversal of 10216462400 is 426461201.

It can be written as a sum of positive squares in 3 ways, for example, as 67108864 + 10149353536 = 8192^2 + 100744^2 .

It is a super-2 number, since 2×10216462400² (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 10216462400.

It is an unprimeable number.

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, 3191045 + ... + 3194244.

Almost surely, 2^10216462400 is an apocalyptic number.

10216462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216462400 is an abundant number, since it is smaller than the sum of its proper divisors (14922424330).

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

10216462400 is an equidigital number, since it uses as much as digits as its factorization.

10216462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385311 (or 6385296 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 10216462400 in words is "ten billion, two hundred sixteen million, four hundred sixty-two thousand, four hundred".