1141905600 has 588 divisors, whose sum is σ = 4647392280. Its totient is φ = 273715200.

The previous prime is 1141905593. The next prime is 1141905659. The reversal of 1141905600 is 65091411.

1141905600 is a `hidden beast` number, since 1 + 14 + 1 + 90 + 560 + 0 = 666.

It is a super-2 number, since 2×1141905600² = 2607896798622720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12830356 + ... + 12830444.

Almost surely, 2^1141905600 is an apocalyptic number.

1141905600 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 1141905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323696140).

1141905600 is an abundant number, since it is smaller than the sum of its proper divisors (3505486680).

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

1141905600 is an equidigital number, since it uses as much as digits as its factorization.

1141905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1141905600 is about 33792.0937498700. The cubic root of 1141905600 is about 1045.2256710640.

The spelling of 1141905600 in words is "one billion, one hundred forty-one million, nine hundred five thousand, six hundred".