1045140320 has 96 divisors (see below), whose sum is σ = 2833185600. Its totient is φ = 356898816.

The previous prime is 1045140301. The next prime is 1045140359. The reversal of 1045140320 is 230415401.

1045140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1045140292 and 1045140301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299546 + ... + 303014.

It is an arithmetic number, because the mean of its divisors is an integer number (29512350).

Almost surely, 2^1045140320 is an apocalyptic number.

1045140320 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 1045140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416592800).

1045140320 is an abundant number, since it is smaller than the sum of its proper divisors (1788045280).

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

1045140320 is a wasteful number, since it uses less digits than its factorization.

1045140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1045140320 is about 32328.6300359295. The cubic root of 1045140320 is about 1014.8258803297.

Adding to 1045140320 its reverse (230415401), we get a palindrome (1275555721).

The spelling of 1045140320 in words is "one billion, forty-five million, one hundred forty thousand, three hundred twenty".