8201097329040 has 1280 divisors, whose sum is σ = 35736409866240. Its totient is φ = 1679257681920.

The previous prime is 8201097329039. The next prime is 8201097329053. The reversal of 8201097329040 is 409237901028.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3316253244 + ... + 3316255716.

It is an arithmetic number, because the mean of its divisors is an integer number (27919070208).

Almost surely, 2^{8201097329040} is an apocalyptic number.

8201097329040 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 8201097329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868204933120).

8201097329040 is an abundant number, since it is smaller than the sum of its proper divisors (27535312537200).

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

8201097329040 is a wasteful number, since it uses less digits than its factorization.

8201097329040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 8201097329040 in words is "eight trillion, two hundred one billion, ninety-seven million, three hundred twenty-nine thousand, forty".