8009553355440 has 1440 divisors, whose sum is σ = 33270718037760. Its totient is φ = 1575549480960.

The previous prime is 8009553355411. The next prime is 8009553355499. The reversal of 8009553355440 is 445533559008.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14642693247 + ... + 14642693793.

It is an arithmetic number, because the mean of its divisors is an integer number (23104665304).

Almost surely, 2^{8009553355440} is an apocalyptic number.

8009553355440 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 8009553355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635359018880).

8009553355440 is an abundant number, since it is smaller than the sum of its proper divisors (25261164682320).

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

8009553355440 is a wasteful number, since it uses less digits than its factorization.

8009553355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 8009553355440 in words is "eight trillion, nine billion, five hundred fifty-three million, three hundred fifty-five thousand, four hundred forty".