1141894800 has 240 divisors, whose sum is σ = 4241930880. Its totient is φ = 291202560.

The previous prime is 1141894783. The next prime is 1141894841. The reversal of 1141894800 is 84981411.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246102 + ... + 250698.

It is an arithmetic number, because the mean of its divisors is an integer number (17674712).

Almost surely, 2^1141894800 is an apocalyptic number.

1141894800 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 1141894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120965440).

1141894800 is an abundant number, since it is smaller than the sum of its proper divisors (3100036080).

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

1141894800 is a wasteful number, since it uses less digits than its factorization.

1141894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1141894800 is about 33791.9339487991. The cubic root of 1141894800 is about 1045.2223758492. Note that the first 3 decimals are identical.

The spelling of 1141894800 in words is "one billion, one hundred forty-one million, eight hundred ninety-four thousand, eight hundred".