4022322400 has 72 divisors (see below), whose sum is σ = 10397147040. Its totient is φ = 1514280960.

The previous prime is 4022322397. The next prime is 4022322407. The reversal of 4022322400 is 42232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022322407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134280 + ... + 161479.

It is an arithmetic number, because the mean of its divisors is an integer number (144404820).

Almost surely, 2^4022322400 is an apocalyptic number.

4022322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022322400 is an abundant number, since it is smaller than the sum of its proper divisors (6374824640).

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

4022322400 is a wasteful number, since it uses less digits than its factorization.

4022322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295796 (or 295783 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4022322400 is about 63421.7817472830. The cubic root of 4022322400 is about 1590.3484594182.

Adding to 4022322400 its reverse (42232204), we get a palindrome (4064554604).

The spelling of 4022322400 in words is "four billion, twenty-two million, three hundred twenty-two thousand, four hundred".