8738941271040 has 1584 divisors, whose sum is σ = 33069255523200. Its totient is φ = 2213545771008.

The previous prime is 8738941271033. The next prime is 8738941271051. The reversal of 8738941271040 is 401721498378.

8738941271040 is a `hidden beast` number, since 87 + 3 + 89 + 412 + 71 + 0 + 4 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98190351316 + ... + 98190351404.

Almost surely, 2^{8738941271040} is an apocalyptic number.

8738941271040 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 8738941271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534627761600).

8738941271040 is an abundant number, since it is smaller than the sum of its proper divisors (24330314252160).

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

8738941271040 is an frugal number, since it uses more digits than its factorization.

8738941271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 8738941271040 in words is "eight trillion, seven hundred thirty-eight billion, nine hundred forty-one million, two hundred seventy-one thousand, forty".