71065004400 has 960 divisors, whose sum is σ = 289831449600. Its totient is φ = 16404664320.

The previous prime is 71065004371. The next prime is 71065004441. The reversal of 71065004400 is 440056017.

71065004400 is a `hidden beast` number, since 7 + 1 + 0 + 650 + 0 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190522614 + ... + 190522986.

It is an arithmetic number, because the mean of its divisors is an integer number (301907760).

Almost surely, 2^71065004400 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 71065004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144915724800).

71065004400 is an abundant number, since it is smaller than the sum of its proper divisors (218766445200).

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

71065004400 is a wasteful number, since it uses less digits than its factorization.

71065004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 71065004400 in words is "seventy-one billion, sixty-five million, four thousand, four hundred".