271187492940 has 960 divisors, whose sum is σ = 1091808748800. Its totient is φ = 54804750336.

The previous prime is 271187492909. The next prime is 271187492981. The reversal of 271187492940 is 49294781172.

271187492940 is a `hidden beast` number, since 2 + 71 + 1 + 87 + 492 + 9 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 979016082 + ... + 979016358.

It is an arithmetic number, because the mean of its divisors is an integer number (1137300780).

Almost surely, 2^271187492940 is an apocalyptic number.

271187492940 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 271187492940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545904374400).

271187492940 is an abundant number, since it is smaller than the sum of its proper divisors (820621255860).

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

271187492940 is a wasteful number, since it uses less digits than its factorization.

271187492940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 271187492940 in words is "two hundred seventy-one billion, one hundred eighty-seven million, four hundred ninety-two thousand, nine hundred forty".