1141120240 has 320 divisors, whose sum is σ = 3299788800. Its totient is φ = 362299392.

The previous prime is 1141120231. The next prime is 1141120247. The reversal of 1141120240 is 420211411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141120247) 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, 14444521 + ... + 14444599.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^1141120240 is an apocalyptic number.

1141120240 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 1141120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1141120240 is an abundant number, since it is smaller than the sum of its proper divisors (2158668560).

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

1141120240 is a wasteful number, since it uses less digits than its factorization.

1141120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1141120240 is about 33780.4712814964. The cubic root of 1141120240 is about 1044.9859937227.

Adding to 1141120240 its reverse (420211411), we get a palindrome (1561331651).

The spelling of 1141120240 in words is "one billion, one hundred forty-one million, one hundred twenty thousand, two hundred forty".