1152023040 has 320 divisors, whose sum is σ = 4678629120. Its totient is φ = 263208960.

The previous prime is 1152023027. The next prime is 1152023051. The reversal of 1152023040 is 403202511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482650 + ... + 485030.

It is an arithmetic number, because the mean of its divisors is an integer number (14620716).

Almost surely, 2^1152023040 is an apocalyptic number.

1152023040 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 1152023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339314560).

1152023040 is an abundant number, since it is smaller than the sum of its proper divisors (3526606080).

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

1152023040 is an equidigital number, since it uses as much as digits as its factorization.

1152023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1152023040 is about 33941.4649065122. The cubic root of 1152023040 is about 1048.3035462807.

Adding to 1152023040 its reverse (403202511), we get a palindrome (1555225551).

The spelling of 1152023040 in words is "one billion, one hundred fifty-two million, twenty-three thousand, forty".