1141073920 has 96 divisors (see below), whose sum is σ = 3129235200. Its totient is φ = 391200768.

The previous prime is 1141073917. The next prime is 1141073939. The reversal of 1141073920 is 293701411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63721 + ... + 79639.

It is an arithmetic number, because the mean of its divisors is an integer number (32596200).

Almost surely, 2^1141073920 is an apocalyptic number.

1141073920 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 1141073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564617600).

1141073920 is an abundant number, since it is smaller than the sum of its proper divisors (1988161280).

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

1141073920 is an equidigital number, since it uses as much as digits as its factorization.

1141073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1141073920 is about 33779.7856713153. The cubic root of 1141073920 is about 1044.9718542819.

The spelling of 1141073920 in words is "one billion, one hundred forty-one million, seventy-three thousand, nine hundred twenty".