1143014400 has 594 divisors, whose sum is σ = 4608120426. Its totient is φ = 270336000.

The previous prime is 1143014399. The next prime is 1143014419. The reversal of 1143014400 is 44103411.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 1141899264 = 1056^2 + 33792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27878380 + ... + 27878420.

Almost surely, 2^1143014400 is an apocalyptic number.

1143014400 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 1143014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304060213).

1143014400 is an abundant number, since it is smaller than the sum of its proper divisors (3465106026).

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

1143014400 is a wasteful number, since it uses less digits than its factorization.

1143014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1143014400 is about 33808.4959736454. The cubic root of 1143014400 is about 1045.5638692801.

Adding to 1143014400 its reverse (44103411), we get a palindrome (1187117811).

The spelling of 1143014400 in words is "one billion, one hundred forty-three million, fourteen thousand, four hundred".