1141125440 has 224 divisors, whose sum is σ = 3379622400. Its totient is φ = 357359616.

The previous prime is 1141125439. The next prime is 1141125449. The reversal of 1141125440 is 445211411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141125449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4338749 + ... + 4339011.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^1141125440 is an apocalyptic number.

1141125440 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 1141125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

1141125440 is an abundant number, since it is smaller than the sum of its proper divisors (2238496960).

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

1141125440 is a wasteful number, since it uses less digits than its factorization.

1141125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1141125440 is about 33780.5482489553. The cubic root of 1141125440 is about 1044.9875810281.

Adding to 1141125440 its reverse (445211411), we get a palindrome (1586336851).

The spelling of 1141125440 in words is "one billion, one hundred forty-one million, one hundred twenty-five thousand, four hundred forty".