1141356240 has 240 divisors, whose sum is σ = 3948497280. Its totient is φ = 295357440.

The previous prime is 1141356191. The next prime is 1141356253. The reversal of 1141356240 is 426531411.

It is a happy number.

1141356240 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 35 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242826 + ... + 4243094.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 2^1141356240 is an apocalyptic number.

1141356240 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 1141356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640).

1141356240 is an abundant number, since it is smaller than the sum of its proper divisors (2807141040).

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

1141356240 is a wasteful number, since it uses less digits than its factorization.

1141356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1141356240 is about 33783.9642434099. The cubic root of 1141356240 is about 1045.0580281109.

Adding to 1141356240 its reverse (426531411), we get a palindrome (1567887651).

The spelling of 1141356240 in words is "one billion, one hundred forty-one million, three hundred fifty-six thousand, two hundred forty".