1141872800 has 36 divisors (see below), whose sum is σ = 2787598926. Its totient is φ = 456748800.

The previous prime is 1141872793. The next prime is 1141872821. The reversal of 1141872800 is 82781411.

It can be written as a sum of positive squares in 3 ways, for example, as 653109136 + 488763664 = 25556^2 + 22108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 712871 + ... + 714470.

Almost surely, 2^1141872800 is an apocalyptic number.

1141872800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141872800 is an abundant number, since it is smaller than the sum of its proper divisors (1645726126).

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

1141872800 is a wasteful number, since it uses less digits than its factorization.

1141872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427361 (or 1427348 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 1141872800 is about 33791.6084257616. The cubic root of 1141872800 is about 1045.2156633102.

The spelling of 1141872800 in words is "one billion, one hundred forty-one million, eight hundred seventy-two thousand, eight hundred".