21442544351424 has 224 divisors, whose sum is σ = 72084341683200. Its totient is φ = 6122875484160.

The previous prime is 21442544351399. The next prime is 21442544351453. The reversal of 21442544351424 is 42415344524412.

21442544351424 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 254 + 4 + 351 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×21442544351424³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21442544351424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20302197 + ... + 21332235.

It is an arithmetic number, because the mean of its divisors is an integer number (321805096800).

Almost surely, 2^{21442544351424} is an apocalyptic number.

21442544351424 is a gapful number since it is divisible by the number (24) 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 21442544351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36042170841600).

21442544351424 is an abundant number, since it is smaller than the sum of its proper divisors (50641797331776).

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

21442544351424 is a wasteful number, since it uses less digits than its factorization.

21442544351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031788 (or 1031772 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

Adding to 21442544351424 its reverse (42415344524412), we get a palindrome (63857888875836).

The spelling of 21442544351424 in words is "twenty-one trillion, four hundred forty-two billion, five hundred forty-four million, three hundred fifty-one thousand, four hundred twenty-four".