1143142400 has 144 divisors (see below), whose sum is σ = 2879112600. Its totient is φ = 450068480.

The previous prime is 1143142369. The next prime is 1143142439. The reversal of 1143142400 is 42413411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4249466 + ... + 4249734.

Almost surely, 2^1143142400 is an apocalyptic number.

1143142400 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 1143142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439556300).

1143142400 is an abundant number, since it is smaller than the sum of its proper divisors (1735970200).

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

1143142400 is an equidigital number, since it uses as much as digits as its factorization.

1143142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1143142400 is about 33810.3889359469. The cubic root of 1143142400 is about 1045.6028968374.

Adding to 1143142400 its reverse (42413411), we get a palindrome (1185555811).

It can be divided in two parts, 114314 and 2400, that multiplied together give a triangular number (274353600 = T₂₃₄₂₄).

The spelling of 1143142400 in words is "one billion, one hundred forty-three million, one hundred forty-two thousand, four hundred".