1143322400 has 144 divisors (see below), whose sum is σ = 3066553728. Its totient is φ = 412800000.

The previous prime is 1143322393. The next prime is 1143322409. The reversal of 1143322400 is 42233411.

It is a super-2 number, since 2×1143322400² = 2614372220683520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1143322409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522025 + ... + 1522775.

It is an arithmetic number, because the mean of its divisors is an integer number (21295512).

Almost surely, 2^1143322400 is an apocalyptic number.

1143322400 is a gapful number since it is divisible by the number (10) 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 1143322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533276864).

1143322400 is an abundant number, since it is smaller than the sum of its proper divisors (1923231328).

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

1143322400 is a wasteful number, since it uses less digits than its factorization.

1143322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 942 counting only the distinct ones).

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

The square root of 1143322400 is about 33813.0507348864. The cubic root of 1143322400 is about 1045.6577744111.

Adding to 1143322400 its reverse (42233411), we get a palindrome (1185555811).

It can be divided in two parts, 11433 and 22400, that added together give a palindrome (33833).

The spelling of 1143322400 in words is "one billion, one hundred forty-three million, three hundred twenty-two thousand, four hundred".