1141577920 has 56 divisors (see below), whose sum is σ = 3106728864. Its totient is φ = 391397376.

The previous prime is 1141577917. The next prime is 1141577951. The reversal of 1141577920 is 297751411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1141577920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252577 + ... + 257056.

Almost surely, 2^1141577920 is an apocalyptic number.

1141577920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141577920 is an abundant number, since it is smaller than the sum of its proper divisors (1965150944).

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

1141577920 is an equidigital number, since it uses as much as digits as its factorization.

1141577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509657 (or 509647 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 1141577920 is about 33787.2449305947. The cubic root of 1141577920 is about 1045.1256825553.

The spelling of 1141577920 in words is "one billion, one hundred forty-one million, five hundred seventy-seven thousand, nine hundred twenty".