1141561344 has 384 divisors, whose sum is σ = 4025548800. Its totient is φ = 278691840.

The previous prime is 1141561331. The next prime is 1141561367. The reversal of 1141561344 is 4431651411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988609 + ... + 8988735.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2^1141561344 is an apocalyptic number.

1141561344 is a gapful number since it is divisible by the number (14) 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 1141561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012774400).

1141561344 is an abundant number, since it is smaller than the sum of its proper divisors (2883987456).

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

1141561344 is a wasteful number, since it uses less digits than its factorization.

1141561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1141561344 is about 33786.9996300352. Note that the first 3 decimals coincide. The cubic root of 1141561344 is about 1045.1206240344.

The spelling of 1141561344 in words is "one billion, one hundred forty-one million, five hundred sixty-one thousand, three hundred forty-four".