1141741440 has 256 divisors, whose sum is σ = 4621824000. Its totient is φ = 260941824.

The previous prime is 1141741429. The next prime is 1141741457. The reversal of 1141741440 is 441471411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116241 + ... + 125679.

It is an arithmetic number, because the mean of its divisors is an integer number (18054000).

Almost surely, 2^1141741440 is an apocalyptic number.

1141741440 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 1141741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310912000).

1141741440 is an abundant number, since it is smaller than the sum of its proper divisors (3480082560).

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

1141741440 is an equidigital number, since it uses as much as digits as its factorization.

1141741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1141741440 is about 33789.6646920327. The cubic root of 1141741440 is about 1045.1755815560.

The spelling of 1141741440 in words is "one billion, one hundred forty-one million, seven hundred forty-one thousand, four hundred forty".