4022114031200 has 144 divisors (see below), whose sum is σ = 9941260687344. Its totient is φ = 1588891392000.

The previous prime is 4022114031197. The next prime is 4022114031227. The reversal of 4022114031200 is 21304112204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32014907 + ... + 32140293.

It is an arithmetic number, because the mean of its divisors is an integer number (69036532551).

Almost surely, 2^{4022114031200} is an apocalyptic number.

4022114031200 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 4022114031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970630343672).

4022114031200 is an abundant number, since it is smaller than the sum of its proper divisors (5919146656144).

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

4022114031200 is a wasteful number, since it uses less digits than its factorization.

4022114031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125905 (or 125892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4022114031200 its reverse (21304112204), we get a palindrome (4043418143404).

The spelling of 4022114031200 in words is "four trillion, twenty-two billion, one hundred fourteen million, thirty-one thousand, two hundred".