1141848640 has 56 divisors (see below), whose sum is σ = 2749646520. Its totient is φ = 451596288.

The previous prime is 1141848611. The next prime is 1141848649. The reversal of 1141848640 is 468481411.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 1127347776 = 3808^2 + 33576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1141848640.

It is not an unprimeable number, because it can be changed into a prime (1141848649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8434 + ... + 48526.

Almost surely, 2^1141848640 is an apocalyptic number.

1141848640 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 1141848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374823260).

1141848640 is an abundant number, since it is smaller than the sum of its proper divisors (1607797880).

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

1141848640 is an equidigital number, since it uses as much as digits as its factorization.

1141848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40199 (or 40189 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 1141848640 is about 33791.2509386675. The cubic root of 1141848640 is about 1045.2082916227.

The spelling of 1141848640 in words is "one billion, one hundred forty-one million, eight hundred forty-eight thousand, six hundred forty".