1141724160 has 220 divisors, whose sum is σ = 4092779988. Its totient is φ = 304349184.

The previous prime is 1141724159. The next prime is 1141724173. The reversal of 1141724160 is 614271411.

1141724160 is a `hidden beast` number, since 1 + 1 + 417 + 241 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 780420096 + 361304064 = 27936^2 + 19008^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 413344 + ... + 416096.

Almost surely, 2^1141724160 is an apocalyptic number.

1141724160 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 1141724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046389994).

1141724160 is an abundant number, since it is smaller than the sum of its proper divisors (2951055828).

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

1141724160 is an equidigital number, since it uses as much as digits as its factorization.

1141724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1141724160 is about 33789.4089915760. The cubic root of 1141724160 is about 1045.1703086969.

Adding to 1141724160 its reverse (614271411), we get a palindrome (1755995571).

The spelling of 1141724160 in words is "one billion, one hundred forty-one million, seven hundred twenty-four thousand, one hundred sixty".