21422341382400 has 1620 divisors, whose sum is σ = 93553148215296. Its totient is φ = 4737811046400.

The previous prime is 21422341382399. The next prime is 21422341382417. The reversal of 21422341382400 is 428314322412.

21422341382400 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 234 + 1 + 382 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 3487273729 + ... + 3487279871.

Almost surely, 2^{21422341382400} is an apocalyptic number.

21422341382400 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 21422341382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46776574107648).

21422341382400 is an abundant number, since it is smaller than the sum of its proper divisors (72130806832896).

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

21422341382400 is an equidigital number, since it uses as much as digits as its factorization.

21422341382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 21422341382400 in words is "twenty-one trillion, four hundred twenty-two billion, three hundred forty-one million, three hundred eighty-two thousand, four hundred".