271381155840 has 832 divisors, whose sum is σ = 1002012238080. Its totient is φ = 70516998144.

The previous prime is 271381155833. The next prime is 271381155841. The reversal of 271381155840 is 48551183172.

271381155840 is a `hidden beast` number, since 2 + 7 + 13 + 81 + 1 + 558 + 4 + 0 = 666.

It is a super-2 number, since 2×271381155840² (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 (271381155841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3269652439 + ... + 3269652521.

Almost surely, 2^271381155840 is an apocalyptic number.

271381155840 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 271381155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501006119040).

271381155840 is an abundant number, since it is smaller than the sum of its proper divisors (730631082240).

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

271381155840 is an frugal number, since it uses more digits than its factorization.

271381155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 271381155840 in words is "two hundred seventy-one billion, three hundred eighty-one million, one hundred fifty-five thousand, eight hundred forty".