71102440224 has 240 divisors, whose sum is σ = 227221505280. Its totient is φ = 21728632320.

The previous prime is 71102440223. The next prime is 71102440237. The reversal of 71102440224 is 42204420117.

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

It is not an unprimeable number, because it can be changed into a prime (71102440223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503402 + ... + 1549974.

It is an arithmetic number, because the mean of its divisors is an integer number (946756272).

Almost surely, 2^71102440224 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 71102440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113610752640).

71102440224 is an abundant number, since it is smaller than the sum of its proper divisors (156119065056).

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

71102440224 is a wasteful number, since it uses less digits than its factorization.

71102440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46645 (or 46628 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 71102440224 in words is "seventy-one billion, one hundred two million, four hundred forty thousand, two hundred twenty-four".