71480841120 has 1344 divisors, whose sum is σ = 299850647040. Its totient is φ = 15933210624.

The previous prime is 71480841101. The next prime is 71480841121. The reversal of 71480841120 is 2114808417.

71480841120 is a `hidden beast` number, since 71 + 480 + 84 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71480841121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1211539651 + ... + 1211539709.

It is an arithmetic number, because the mean of its divisors is an integer number (223103160).

Almost surely, 2^71480841120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71480841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149925323520).

71480841120 is an abundant number, since it is smaller than the sum of its proper divisors (228369805920).

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

71480841120 is a wasteful number, since it uses less digits than its factorization.

71480841120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 71480841120 in words is "seventy-one billion, four hundred eighty million, eight hundred forty-one thousand, one hundred twenty".