1141943040 has 648 divisors, whose sum is σ = 4894562400. Its totient is φ = 245661696.

The previous prime is 1141943039. The next prime is 1141943129. The reversal of 1141943040 is 403491411.

It is a junction number, because it is equal to n+sod(n) for n = 1141942995 and 1141943013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67173112 + ... + 67173128.

Almost surely, 2^1141943040 is an apocalyptic number.

1141943040 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 1141943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447281200).

1141943040 is an abundant number, since it is smaller than the sum of its proper divisors (3752619360).

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

1141943040 is an equidigital number, since it uses as much as digits as its factorization.

1141943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1141943040 is about 33792.6477210650. The cubic root of 1141943040 is about 1045.2370943146.

The spelling of 1141943040 in words is "one billion, one hundred forty-one million, nine hundred forty-three thousand, forty".