271021040640 has 1408 divisors, whose sum is σ = 1154547302400. Its totient is φ = 59011891200.

The previous prime is 271021040573. The next prime is 271021040671. The reversal of 271021040640 is 46040120172.

271021040640 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 2 + 10 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2683376590 + ... + 2683376690.

Almost surely, 2^271021040640 is an apocalyptic number.

271021040640 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 271021040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577273651200).

271021040640 is an abundant number, since it is smaller than the sum of its proper divisors (883526261760).

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

271021040640 is a wasteful number, since it uses less digits than its factorization.

271021040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 271021040640 in words is "two hundred seventy-one billion, twenty-one million, forty thousand, six hundred forty".