4053322400 has 36 divisors (see below), whose sum is σ = 9895175262. Its totient is φ = 1621328640.

The previous prime is 4053322379. The next prime is 4053322409. The reversal of 4053322400 is 42233504.

It can be written as a sum of positive squares in 3 ways, for example, as 3580346896 + 472975504 = 59836^2 + 21748^2 .

It is not an unprimeable number, because it can be changed into a prime (4053322409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2532527 + ... + 2534126.

Almost surely, 2^4053322400 is an apocalyptic number.

4053322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053322400 is an abundant number, since it is smaller than the sum of its proper divisors (5841852862).

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

4053322400 is a wasteful number, since it uses less digits than its factorization.

4053322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066673 (or 5066660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 4053322400 is about 63665.7081952286. The cubic root of 4053322400 is about 1594.4236083219.

Adding to 4053322400 its reverse (42233504), we get a palindrome (4095555904).

The spelling of 4053322400 in words is "four billion, fifty-three million, three hundred twenty-two thousand, four hundred".