4022013213200 has 240 divisors, whose sum is σ = 10044552821760. Its totient is φ = 1545820416000.

The previous prime is 4022013213167. The next prime is 4022013213263. The reversal of 4022013213200 is 23123102204.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2704782857 + ... + 2704784343.

It is an arithmetic number, because the mean of its divisors is an integer number (41852303424).

Almost surely, 2^{4022013213200} is an apocalyptic number.

4022013213200 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 4022013213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022276410880).

4022013213200 is an abundant number, since it is smaller than the sum of its proper divisors (6022539608560).

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

4022013213200 is a wasteful number, since it uses less digits than its factorization.

4022013213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4022013213200 its reverse (23123102204), we get a palindrome (4045136315404).

The spelling of 4022013213200 in words is "four trillion, twenty-two billion, thirteen million, two hundred thirteen thousand, two hundred".