1141024000 has 144 divisors (see below), whose sum is σ = 2872645776. Its totient is φ = 451584000.

The previous prime is 1141023979. The next prime is 1141024051. The reversal of 1141024000 is 4201411.

It can be written as a sum of positive squares in 8 ways, for example, as 389825536 + 751198464 = 19744^2 + 27408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5791902 + ... + 5792098.

It is an arithmetic number, because the mean of its divisors is an integer number (19948929).

Almost surely, 2^1141024000 is an apocalyptic number.

1141024000 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 1141024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436322888).

1141024000 is an abundant number, since it is smaller than the sum of its proper divisors (1731621776).

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

1141024000 is an equidigital number, since it uses as much as digits as its factorization.

1141024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1141024000 is about 33779.0467597888. The cubic root of 1141024000 is about 1044.9566154924.

Adding to 1141024000 its reverse (4201411), we get a palindrome (1145225411).

The spelling of 1141024000 in words is "one billion, one hundred forty-one million, twenty-four thousand".