71408865600 has 336 divisors, whose sum is σ = 261934594240. Its totient is φ = 18923673600.

The previous prime is 71408865581. The next prime is 71408865629. The reversal of 71408865600 is 656880417.

It is a happy number.

71408865600 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 8 + 86 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7036530 + ... + 7046670.

Almost surely, 2^71408865600 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 71408865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130967297120).

71408865600 is an abundant number, since it is smaller than the sum of its proper divisors (190525728640).

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

71408865600 is a wasteful number, since it uses less digits than its factorization.

71408865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 71408865600 in words is "seventy-one billion, four hundred eight million, eight hundred sixty-five thousand, six hundred".