4045522320 has 720 divisors, whose sum is σ = 17041909248. Its totient is φ = 888330240.

The previous prime is 4045522291. The next prime is 4045522361. The reversal of 4045522320 is 232255404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29529292 + ... + 29529428.

Almost surely, 2^4045522320 is an apocalyptic number.

4045522320 is a gapful number since it is divisible by the number (40) 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 4045522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520954624).

4045522320 is an abundant number, since it is smaller than the sum of its proper divisors (12996386928).

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

4045522320 is a wasteful number, since it uses less digits than its factorization.

4045522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4045522320 is about 63604.4206010872. The cubic root of 4045522320 is about 1593.4001994934.

Adding to 4045522320 its reverse (232255404), we get a palindrome (4277777724).

The spelling of 4045522320 in words is "four billion, forty-five million, five hundred twenty-two thousand, three hundred twenty".