21442201142544 has 400 divisors, whose sum is σ = 78845410237440. Its totient is φ = 5472662952960.

The previous prime is 21442201142521. The next prime is 21442201142561. The reversal of 21442201142544 is 44524110224412.

21442201142544 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 220 + 1 + 1 + 425 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21442201142499 and 21442201142508.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 723562 + ... + 6588470.

Almost surely, 2^{21442201142544} is an apocalyptic number.

21442201142544 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 21442201142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39422705118720).

21442201142544 is an abundant number, since it is smaller than the sum of its proper divisors (57403209094896).

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

21442201142544 is a wasteful number, since it uses less digits than its factorization.

21442201142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864980 (or 5864965 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 21442201142544 its reverse (44524110224412), we get a palindrome (65966311366956).

The spelling of 21442201142544 in words is "twenty-one trillion, four hundred forty-two billion, two hundred one million, one hundred forty-two thousand, five hundred forty-four".