1141146240 has 256 divisors, whose sum is σ = 3958416000. Its totient is φ = 277954560.

The previous prime is 1141146191. The next prime is 1141146241. The reversal of 1141146240 is 426411411.

It is a super-2 number, since 2×1141146240² = 2604429482132275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1141146240.

It is not an unprimeable number, because it can be changed into a prime (1141146241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3269586 + ... + 3269934.

Almost surely, 2^1141146240 is an apocalyptic number.

1141146240 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 1141146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979208000).

1141146240 is an abundant number, since it is smaller than the sum of its proper divisors (2817269760).

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

1141146240 is a wasteful number, since it uses less digits than its factorization.

1141146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1141146240 is about 33780.8561170376. The cubic root of 1141146240 is about 1044.9939302014.

Adding to 1141146240 its reverse (426411411), we get a palindrome (1567557651).

The spelling of 1141146240 in words is "one billion, one hundred forty-one million, one hundred forty-six thousand, two hundred forty".