8442040320 has 520 divisors, whose sum is σ = 34633382784. Its totient is φ = 1926955008.

The previous prime is 8442040301. The next prime is 8442040351. The reversal of 8442040320 is 230402448.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11611797 + ... + 11612523.

Almost surely, 2^8442040320 is an apocalyptic number.

8442040320 is a gapful number since it is divisible by the number (80) 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 8442040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316691392).

8442040320 is an abundant number, since it is smaller than the sum of its proper divisors (26191342464).

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

8442040320 is an equidigital number, since it uses as much as digits as its factorization.

8442040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8442040320 is about 91880.5764021972. The cubic root of 8442040320 is about 2036.1783121390.

Adding to 8442040320 its reverse (230402448), we get a palindrome (8672442768).

The spelling of 8442040320 in words is "eight billion, four hundred forty-two million, forty thousand, three hundred twenty".