1141919520 has 288 divisors, whose sum is σ = 4277484288. Its totient is φ = 255209472.

The previous prime is 1141919507. The next prime is 1141919539. The reversal of 1141919520 is 259191411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104924 + ... + 1105956.

It is an arithmetic number, because the mean of its divisors is an integer number (14852376).

Almost surely, 2^1141919520 is an apocalyptic number.

1141919520 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 1141919520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138742144).

1141919520 is an abundant number, since it is smaller than the sum of its proper divisors (3135564768).

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

1141919520 is a wasteful number, since it uses less digits than its factorization.

1141919520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 33.

The square root of 1141919520 is about 33792.2997145799. The cubic root of 1141919520 is about 1045.2299181992.

The spelling of 1141919520 in words is "one billion, one hundred forty-one million, nine hundred nineteen thousand, five hundred twenty".