1141244640 has 288 divisors, whose sum is σ = 4086482400. Its totient is φ = 300754944.

The previous prime is 1141244623. The next prime is 1141244653. The reversal of 1141244640 is 464421411.

1141244640 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5793022 + ... + 5793218.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2^1141244640 is an apocalyptic number.

1141244640 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 1141244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043241200).

1141244640 is an abundant number, since it is smaller than the sum of its proper divisors (2945237760).

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

1141244640 is a wasteful number, since it uses less digits than its factorization.

1141244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1141244640 is about 33782.3125318561. The cubic root of 1141244640 is about 1045.0239656294.

The spelling of 1141244640 in words is "one billion, one hundred forty-one million, two hundred forty-four thousand, six hundred forty".