71413602128 has 80 divisors (see below), whose sum is σ = 152047476672. Its totient is φ = 32223744000.

The previous prime is 71413602119. The next prime is 71413602137. The reversal of 71413602128 is 82120631417.

It is an interprime number because it is at equal distance from previous prime (71413602119) and next prime (71413602137).

It is a super-2 number, since 2×71413602128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21437423 + ... + 21440753.

Almost surely, 2^71413602128 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 71413602128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76023738336).

71413602128 is an abundant number, since it is smaller than the sum of its proper divisors (80633874544).

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

71413602128 is a wasteful number, since it uses less digits than its factorization.

71413602128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 71413602128 in words is "seventy-one billion, four hundred thirteen million, six hundred two thousand, one hundred twenty-eight".