8968201440 has 192 divisors, whose sum is σ = 30874701312. Its totient is φ = 2170112000.

The previous prime is 8968201433. The next prime is 8968201453. The reversal of 8968201440 is 441028698.

It is a junction number, because it is equal to n+sod(n) for n = 8968201392 and 8968201401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3700069 + ... + 3702491.

It is an arithmetic number, because the mean of its divisors is an integer number (160805736).

Almost surely, 2^8968201440 is an apocalyptic number.

8968201440 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 8968201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437350656).

8968201440 is an abundant number, since it is smaller than the sum of its proper divisors (21906499872).

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

8968201440 is a wasteful number, since it uses less digits than its factorization.

8968201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8968201440 is about 94700.5883825439. The cubic root of 8968201440 is about 2077.6311666617.

The spelling of 8968201440 in words is "eight billion, nine hundred sixty-eight million, two hundred one thousand, four hundred forty".