1141059744 has 384 divisors, whose sum is σ = 3919104000. Its totient is φ = 319334400.

The previous prime is 1141059743. The next prime is 1141059769. The reversal of 1141059744 is 4479501411.

1141059744 is a `hidden beast` number, since 1 + 14 + 10 + 597 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1141059699 and 1141059708.

It is not an unprimeable number, because it can be changed into a prime (1141059743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12820852 + ... + 12820940.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^1141059744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141059744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959552000).

1141059744 is an abundant number, since it is smaller than the sum of its proper divisors (2778044256).

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

1141059744 is a wasteful number, since it uses less digits than its factorization.

1141059744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1141059744 is about 33779.5758410315. The cubic root of 1141059744 is about 1044.9675269016.

The spelling of 1141059744 in words is "one billion, one hundred forty-one million, fifty-nine thousand, seven hundred forty-four".