21118406400 has 1728 divisors, whose sum is σ = 102193459200. Its totient is φ = 4140564480.

The previous prime is 21118406399. The next prime is 21118406453. The reversal of 21118406400 is 460481112.

It is a happy number.

21118406400 is a `hidden beast` number, since 2 + 1 + 1 + 18 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267321561 + ... + 267321639.

Almost surely, 2^21118406400 is an apocalyptic number.

21118406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21118406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51096729600).

21118406400 is an abundant number, since it is smaller than the sum of its proper divisors (81075052800).

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

21118406400 is a wasteful number, since it uses less digits than its factorization.

21118406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

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

Adding to 21118406400 its reverse (460481112), we get a palindrome (21578887512).

The spelling of 21118406400 in words is "twenty-one billion, one hundred eighteen million, four hundred six thousand, four hundred".