4022096400 has 405 divisors, whose sum is σ = 16344854253. Its totient is φ = 913248000.

The previous prime is 4022096369. The next prime is 4022096413. The reversal of 4022096400 is 46902204.

The square root of 4022096400 is 63420.

It is a perfect power (a square), and thus also a powerful number.

4022096400 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 only one way, i.e., 1447954704 + 2574141696 = 38052^2 + 50736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26636325 + ... + 26636475.

Almost surely, 2^4022096400 is an apocalyptic number.

4022096400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4022096400 is the 63420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022096400

4022096400 is an abundant number, since it is smaller than the sum of its proper divisors (12322757853).

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

4022096400 is a wasteful number, since it uses less digits than its factorization.

4022096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 4022096400 is about 1590.3186735178.

Adding to 4022096400 its reverse (46902204), we get a palindrome (4068998604).

The spelling of 4022096400 in words is "four billion, twenty-two million, ninety-six thousand, four hundred".