8301117440 has 408 divisors, whose sum is σ = 25819938432. Its totient is φ = 2532311040.

The previous prime is 8301117389. The next prime is 8301117481. The reversal of 8301117440 is 447111038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176619497 + ... + 176619543.

Almost surely, 2^8301117440 is an apocalyptic number.

8301117440 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 8301117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909969216).

8301117440 is an abundant number, since it is smaller than the sum of its proper divisors (17518820992).

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

8301117440 is an equidigital number, since it uses as much as digits as its factorization.

8301117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8301117440 is about 91110.4683337760. The cubic root of 8301117440 is about 2024.7847103337.

Adding to 8301117440 its reverse (447111038), we get a palindrome (8748228478).

The spelling of 8301117440 in words is "eight billion, three hundred one million, one hundred seventeen thousand, four hundred forty".