10481664400 has 45 divisors (see below), whose sum is σ = 25187119041. Its totient is φ = 4191846720.

The previous prime is 10481664377. The next prime is 10481664407. The reversal of 10481664400 is 446618401.

The square root of 10481664400 is 102380.

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

It can be written as a sum of positive squares in only one way, i.e., 3773399184 + 6708265216 = 61428^2 + 81904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10481664407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2045041 + ... + 2050159.

Almost surely, 2^10481664400 is an apocalyptic number.

10481664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10481664400 is the 102380-th square number.

It is an amenable number.

10481664400 is an abundant number, since it is smaller than the sum of its proper divisors (14705454641).

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

10481664400 is an frugal number, since it uses more digits than its factorization.

10481664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 10481664400 in words is "ten billion, four hundred eighty-one million, six hundred sixty-four thousand, four hundred".