1143034675200 has 1632 divisors, whose sum is σ = 4797827740800. Its totient is φ = 267544166400.

The previous prime is 1143034675187. The next prime is 1143034675217. The reversal of 1143034675200 is 25764303411.

1143034675200 is a `hidden beast` number, since 1 + 1 + 43 + 0 + 34 + 67 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39414988786 + ... + 39414988814.

Almost surely, 2^{1143034675200} is an apocalyptic number.

1143034675200 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 1143034675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398913870400).

1143034675200 is an abundant number, since it is smaller than the sum of its proper divisors (3654793065600).

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

1143034675200 is an frugal number, since it uses more digits than its factorization.

1143034675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 1143034675200 its reverse (25764303411), we get a palindrome (1168798978611).

The spelling of 1143034675200 in words is "one trillion, one hundred forty-three billion, thirty-four million, six hundred seventy-five thousand, two hundred".