8354509271040 has 416 divisors, whose sum is σ = 27728157473280. Its totient is φ = 2146199666688.

The previous prime is 8354509271033. The next prime is 8354509271051. The reversal of 8354509271040 is 401729054538.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 192838501 + ... + 192881819.

Almost surely, 2^{8354509271040} is an apocalyptic number.

8354509271040 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 8354509271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864078736640).

8354509271040 is an abundant number, since it is smaller than the sum of its proper divisors (19373648202240).

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

8354509271040 is a wasteful number, since it uses less digits than its factorization.

8354509271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43467 (or 43445 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 8354509271040 in words is "eight trillion, three hundred fifty-four billion, five hundred nine million, two hundred seventy-one thousand, forty".