1141824000 has 320 divisors, whose sum is σ = 4008850560. Its totient is φ = 287539200.

The previous prime is 1141823993. The next prime is 1141824041. The reversal of 1141824000 is 4281411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647844 + ... + 3648156.

It is an arithmetic number, because the mean of its divisors is an integer number (12527658).

Almost surely, 2^1141824000 is an apocalyptic number.

1141824000 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 1141824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004425280).

1141824000 is an abundant number, since it is smaller than the sum of its proper divisors (2867026560).

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

1141824000 is an equidigital number, since it uses as much as digits as its factorization.

1141824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1141824000 is about 33790.8863452855. The cubic root of 1141824000 is about 1045.2007733706.

The spelling of 1141824000 in words is "one billion, one hundred forty-one million, eight hundred twenty-four thousand".