71440276400 has 120 divisors (see below), whose sum is σ = 181845570960. Its totient is φ = 26878279680.

The previous prime is 71440276387. The next prime is 71440276421. The reversal of 71440276400 is 467204417.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18283247 + ... + 18287153.

It is an arithmetic number, because the mean of its divisors is an integer number (1515379758).

Almost surely, 2^71440276400 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 71440276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90922785480).

71440276400 is an abundant number, since it is smaller than the sum of its proper divisors (110405294560).

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

71440276400 is a wasteful number, since it uses less digits than its factorization.

71440276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 71440276400 in words is "seventy-one billion, four hundred forty million, two hundred seventy-six thousand, four hundred".