271603216463040 has 1344 divisors, whose sum is σ = 1227722873195520. Its totient is φ = 55889000939520.

The previous prime is 271603216463023. The next prime is 271603216463053. The reversal of 271603216463040 is 40364612306172.

271603216463040 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 0 + 3 + 2 + 1 + 6 + 4 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479383764 + ... + 479949996.

Almost surely, 2^{271603216463040} is an apocalyptic number.

271603216463040 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 271603216463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613861436597760).

271603216463040 is an abundant number, since it is smaller than the sum of its proper divisors (956119656732480).

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

271603216463040 is a wasteful number, since it uses less digits than its factorization.

271603216463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566387 (or 566364 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 271603216463040 in words is "two hundred seventy-one trillion, six hundred three billion, two hundred sixteen million, four hundred sixty-three thousand, forty".