4022342304000 has 288 divisors, whose sum is σ = 13941096309504. Its totient is φ = 1025988198400.

The previous prime is 4022342303971. The next prime is 4022342304049. The reversal of 4022342304000 is 4032432204.

It is a super-2 number, since 2×4022342304000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1297144 + ... + 3118856.

It is an arithmetic number, because the mean of its divisors is an integer number (48406584408).

Almost surely, 2^{4022342304000} is an apocalyptic number.

4022342304000 is a gapful number since it is divisible by the number (40) 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 4022342304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970548154752).

4022342304000 is an abundant number, since it is smaller than the sum of its proper divisors (9918754005504).

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

4022342304000 is a wasteful number, since it uses less digits than its factorization.

4022342304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821770 (or 1821746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4022342304000 its reverse (4032432204), we get a palindrome (4026374736204).

The spelling of 4022342304000 in words is "four trillion, twenty-two billion, three hundred forty-two million, three hundred four thousand".