20442142224 has 180 divisors, whose sum is σ = 68845465260. Its totient is φ = 5639155200.

The previous prime is 20442142219. The next prime is 20442142243. The reversal of 20442142224 is 42224124402.

It can be written as a sum of positive squares in 2 ways, for example, as 16366596624 + 4075545600 = 127932^2 + 63840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154674 + ... + 254574.

It is an arithmetic number, because the mean of its divisors is an integer number (382474807).

Almost surely, 2^20442142224 is an apocalyptic number.

20442142224 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 20442142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422732630).

20442142224 is an abundant number, since it is smaller than the sum of its proper divisors (48403323036).

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

20442142224 is a wasteful number, since it uses less digits than its factorization.

20442142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99958 (or 99942 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20442142224 its reverse (42224124402), we get a palindrome (62666266626).

The spelling of 20442142224 in words is "twenty billion, four hundred forty-two million, one hundred forty-two thousand, two hundred twenty-four".