271945405440 has 528 divisors, whose sum is σ = 1000147824000. Its totient is φ = 68174413824.

The previous prime is 271945405397. The next prime is 271945405441. The reversal of 271945405440 is 44504549172.

271945405440 is a `hidden beast` number, since 2 + 7 + 19 + 4 + 540 + 54 + 40 = 666.

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 (271945405441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62528386 + ... + 62532734.

Almost surely, 2^271945405440 is an apocalyptic number.

271945405440 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 271945405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500073912000).

271945405440 is an abundant number, since it is smaller than the sum of its proper divisors (728202418560).

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

271945405440 is a wasteful number, since it uses less digits than its factorization.

271945405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 271945405440 in words is "two hundred seventy-one billion, nine hundred forty-five million, four hundred five thousand, four hundred forty".