4009720320 has 400 divisors, whose sum is σ = 14643033768. Its totient is φ = 1048412160.

The previous prime is 4009720313. The next prime is 4009720321. The reversal of 4009720320 is 230279004.

It can be written as a sum of positive squares in 4 ways, for example, as 1031180544 + 2978539776 = 32112^2 + 54576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4009720321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12648802 + ... + 12649118.

Almost surely, 2^4009720320 is an apocalyptic number.

4009720320 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 4009720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321516884).

4009720320 is an abundant number, since it is smaller than the sum of its proper divisors (10633313448).

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

4009720320 is an equidigital number, since it uses as much as digits as its factorization.

4009720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4009720320 is about 63322.3524515633. The cubic root of 4009720320 is about 1588.6858489925.

Adding to 4009720320 its reverse (230279004), we get a palindrome (4239999324).

The spelling of 4009720320 in words is "four billion, nine million, seven hundred twenty thousand, three hundred twenty".