1141347200 has 288 divisors, whose sum is σ = 3406422600. Its totient is φ = 376320000.

The previous prime is 1141347191. The next prime is 1141347203. The reversal of 1141347200 is 27431411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141347203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547075 + ... + 4547325.

Almost surely, 2^1141347200 is an apocalyptic number.

1141347200 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 1141347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703211300).

1141347200 is an abundant number, since it is smaller than the sum of its proper divisors (2265075400).

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

1141347200 is a wasteful number, since it uses less digits than its factorization.

1141347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1141347200 is about 33783.8304518597. The cubic root of 1141347200 is about 1045.0552690105.

Adding to 1141347200 its reverse (27431411), we get a palindrome (1168778611).

The spelling of 1141347200 in words is "one billion, one hundred forty-one million, three hundred forty-seven thousand, two hundred".