71963440416 has 120 divisors (see below), whose sum is σ = 241877180160. Its totient is φ = 20560977792.

The previous prime is 71963440403. The next prime is 71963440429. The reversal of 71963440416 is 61404436917.

71963440416 is a `hidden beast` number, since 7 + 1 + 9 + 634 + 4 + 0 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71963440403) and next prime (71963440429).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1964976 + ... + 2001263.

It is an arithmetic number, because the mean of its divisors is an integer number (2015643168).

Almost surely, 2^71963440416 is an apocalyptic number.

It is an amenable number.

71963440416 is an abundant number, since it is smaller than the sum of its proper divisors (169913739744).

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

71963440416 is a wasteful number, since it uses less digits than its factorization.

71963440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966268 (or 3966251 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 71963440416 in words is "seventy-one billion, nine hundred sixty-three million, four hundred forty thousand, four hundred sixteen".