21468110400 has 945 divisors, whose sum is σ = 89144904387. Its totient is φ = 5063731200.

The previous prime is 21468110387. The next prime is 21468110441. The reversal of 21468110400 is 401186412.

It is a happy number.

The square root of 21468110400 is 146520.

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

21468110400 is a `hidden beast` number, since 2 + 146 + 8 + 110 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2037980736 + 19430129664 = 45144^2 + 139392^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 580219182 + ... + 580219218.

Almost surely, 2^21468110400 is an apocalyptic number.

21468110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21468110400 is the 146520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21468110400

21468110400 is an abundant number, since it is smaller than the sum of its proper divisors (67676793987).

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

21468110400 is a wasteful number, since it uses less digits than its factorization.

21468110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21468110400 its reverse (401186412), we get a palindrome (21869296812).

The spelling of 21468110400 in words is "twenty-one billion, four hundred sixty-eight million, one hundred ten thousand, four hundred".