1141645920 has 192 divisors, whose sum is σ = 3688312320. Its totient is φ = 296755200.

The previous prime is 1141645891. The next prime is 1141645937. The reversal of 1141645920 is 295461411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4737000 + ... + 4737240.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^1141645920 is an apocalyptic number.

1141645920 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 1141645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844156160).

1141645920 is an abundant number, since it is smaller than the sum of its proper divisors (2546666400).

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

1141645920 is a wasteful number, since it uses less digits than its factorization.

1141645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1141645920 is about 33788.2512125147. The cubic root of 1141645920 is about 1045.1464336969.

The spelling of 1141645920 in words is "one billion, one hundred forty-one million, six hundred forty-five thousand, nine hundred twenty".