4022114039200 has 144 divisors (see below), whose sum is σ = 9945963027000. Its totient is φ = 1588150333440.

The previous prime is 4022114039183. The next prime is 4022114039201. The reversal of 4022114039200 is 29304112204.

4022114039200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 636823152144 + 3385290887056 = 798012^2 + 1839916^2 .

It is not an unprimeable number, because it can be changed into a prime (4022114039201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23371066 + ... + 23542534.

Almost surely, 2^{4022114039200} is an apocalyptic number.

4022114039200 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 4022114039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972981513500).

4022114039200 is an abundant number, since it is smaller than the sum of its proper divisors (5923848987800).

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

4022114039200 is a wasteful number, since it uses less digits than its factorization.

4022114039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171867 (or 171854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 4022114039200 in words is "four trillion, twenty-two billion, one hundred fourteen million, thirty-nine thousand, two hundred".