271488092040 has 480 divisors, whose sum is σ = 1006953171840. Its totient is φ = 65555930880.

The previous prime is 271488092027. The next prime is 271488092041. The reversal of 271488092040 is 40290884172.

It is a super-2 number, since 2×271488092040² (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 not an unprimeable number, because it can be changed into a prime (271488092041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110946097 + ... + 110948543.

It is an arithmetic number, because the mean of its divisors is an integer number (2097819108).

Almost surely, 2^271488092040 is an apocalyptic number.

271488092040 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 271488092040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503476585920).

271488092040 is an abundant number, since it is smaller than the sum of its proper divisors (735465079800).

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

271488092040 is a wasteful number, since it uses less digits than its factorization.

271488092040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 271488092040 in words is "two hundred seventy-one billion, four hundred eighty-eight million, ninety-two thousand, forty".