8501393197440 has 1536 divisors, whose sum is σ = 36718918963200. Its totient is φ = 1840825958400.

The previous prime is 8501393197309. The next prime is 8501393197483. The reversal of 8501393197440 is 447913931058.

8501393197440 is a `hidden beast` number, since 8 + 5 + 0 + 1 + 3 + 9 + 3 + 197 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995824852 + ... + 995833388.

It is an arithmetic number, because the mean of its divisors is an integer number (23905546200).

Almost surely, 2^{8501393197440} is an apocalyptic number.

8501393197440 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 8501393197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359459481600).

8501393197440 is an abundant number, since it is smaller than the sum of its proper divisors (28217525765760).

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

8501393197440 is a wasteful number, since it uses less digits than its factorization.

8501393197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 8501393197440 in words is "eight trillion, five hundred one billion, three hundred ninety-three million, one hundred ninety-seven thousand, four hundred forty".