1042816320 has 672 divisors, whose sum is σ = 4633155072. Its totient is φ = 209240064.

The previous prime is 1042816309. The next prime is 1042816339. The reversal of 1042816320 is 236182401.

1042816320 is a `hidden beast` number, since 1 + 0 + 4 + 28 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027754 + ... + 6027926.

It is an arithmetic number, because the mean of its divisors is an integer number (6894576).

Almost surely, 2^1042816320 is an apocalyptic number.

1042816320 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 1042816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316577536).

1042816320 is an abundant number, since it is smaller than the sum of its proper divisors (3590338752).

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

1042816320 is a wasteful number, since it uses less digits than its factorization.

1042816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1042816320 is about 32292.6666597852. Note that the first 4 decimals coincide. The cubic root of 1042816320 is about 1014.0731247523.

Adding to 1042816320 its reverse (236182401), we get a palindrome (1278998721).

The spelling of 1042816320 in words is "one billion, forty-two million, eight hundred sixteen thousand, three hundred twenty".