1141404240 has 120 divisors (see below), whose sum is σ = 3580083360. Its totient is φ = 300817152.

The previous prime is 1141404239. The next prime is 1141404269. The reversal of 1141404240 is 424041411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6376471 + ... + 6376649.

It is an arithmetic number, because the mean of its divisors is an integer number (29834028).

Almost surely, 2^1141404240 is an apocalyptic number.

1141404240 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 1141404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790041680).

1141404240 is an abundant number, since it is smaller than the sum of its proper divisors (2438679120).

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

1141404240 is a wasteful number, since it uses less digits than its factorization.

1141404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1141404240 is about 33784.6746321465. The cubic root of 1141404240 is about 1045.0726779577.

Adding to 1141404240 its reverse (424041411), we get a palindrome (1565445651).

The spelling of 1141404240 in words is "one billion, one hundred forty-one million, four hundred four thousand, two hundred forty".