271197642240 has 1920 divisors, whose sum is σ = 1201123123200. Its totient is φ = 58525286400.

The previous prime is 271197642229. The next prime is 271197642241. The reversal of 271197642240 is 42246791172.

271197642240 is a `hidden beast` number, since 2 + 7 + 119 + 76 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×271197642240² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271197642241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6614576620 + ... + 6614576660.

It is an arithmetic number, because the mean of its divisors is an integer number (625584960).

Almost surely, 2^271197642240 is an apocalyptic number.

271197642240 is a gapful number since it is divisible by the number (20) 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 271197642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600561561600).

271197642240 is an abundant number, since it is smaller than the sum of its proper divisors (929925480960).

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

271197642240 is an frugal number, since it uses more digits than its factorization.

271197642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 271197642240 in words is "two hundred seventy-one billion, one hundred ninety-seven million, six hundred forty-two thousand, two hundred forty".