1141291008 has 288 divisors, whose sum is σ = 3881470320. Its totient is φ = 318504960.

The previous prime is 1141291003. The next prime is 1141291037. The reversal of 1141291008 is 8001921411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141291003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635560 + ... + 2635992.

Almost surely, 2^1141291008 is an apocalyptic number.

1141291008 is a gapful number since it is divisible by the number (18) 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 1141291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940735160).

1141291008 is an abundant number, since it is smaller than the sum of its proper divisors (2740179312).

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

1141291008 is a wasteful number, since it uses less digits than its factorization.

1141291008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1141291008 is about 33782.9988011722. The cubic root of 1141291008 is about 1045.0381183107.

The spelling of 1141291008 in words is "one billion, one hundred forty-one million, two hundred ninety-one thousand, eight".