22042123143040 has 1536 divisors, whose sum is σ = 73614594493440. Its totient is φ = 6123894865920.

The previous prime is 22042123142993. The next prime is 22042123143091. The reversal of 22042123143040 is 4034132124022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71798446567 + ... + 71798446873.

It is an arithmetic number, because the mean of its divisors is an integer number (47926168290).

Almost surely, 2^{22042123143040} is an apocalyptic number.

22042123143040 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 22042123143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36807297246720).

22042123143040 is an abundant number, since it is smaller than the sum of its proper divisors (51572471350400).

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

22042123143040 is a wasteful number, since it uses less digits than its factorization.

22042123143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22042123143040 its reverse (4034132124022), we get a palindrome (26076255267062).

The spelling of 22042123143040 in words is "twenty-two trillion, forty-two billion, one hundred twenty-three million, one hundred forty-three thousand, forty".