21422494435200 has 192 divisors, whose sum is σ = 70640825297520. Its totient is φ = 5706149068800.

The previous prime is 21422494435163. The next prime is 21422494435207. The reversal of 21422494435200 is 253449422412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21422494435207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7146960 + ... + 9691440.

Almost surely, 2^{21422494435200} is an apocalyptic number.

21422494435200 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 21422494435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320412648760).

21422494435200 is an abundant number, since it is smaller than the sum of its proper divisors (49218330862320).

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

21422494435200 is a wasteful number, since it uses less digits than its factorization.

21422494435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545385 (or 2545368 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 21422494435200 in words is "twenty-one trillion, four hundred twenty-two billion, four hundred ninety-four million, four hundred thirty-five thousand, two hundred".