21468938400 has 1296 divisors, whose sum is σ = 98546692608. Its totient is φ = 4354560000.

The previous prime is 21468938399. The next prime is 21468938401. The reversal of 21468938400 is 483986412.

It is a happy number.

21468938400 is a `hidden beast` number, since 21 + 468 + 93 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21468938399) and next prime (21468938401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21468938401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 142178325 + ... + 142178475.

Almost surely, 2^21468938400 is an apocalyptic number.

21468938400 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 21468938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49273346304).

21468938400 is an abundant number, since it is smaller than the sum of its proper divisors (77077754208).

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

21468938400 is a wasteful number, since it uses less digits than its factorization.

21468938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21468938400 in words is "twenty-one billion, four hundred sixty-eight million, nine hundred thirty-eight thousand, four hundred".