71295117408 has 48 divisors (see below), whose sum is σ = 207944094960. Its totient is φ = 23765038848.

The previous prime is 71295117401. The next prime is 71295117451. The reversal of 71295117408 is 80471159217.

It is a happy number.

71295117408 is a `hidden beast` number, since 7 + 129 + 5 + 117 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71295117401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41257885 + ... + 41259612.

It is an arithmetic number, because the mean of its divisors is an integer number (4332168645).

Almost surely, 2^71295117408 is an apocalyptic number.

It is an amenable number.

71295117408 is an abundant number, since it is smaller than the sum of its proper divisors (136648977552).

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

71295117408 is a wasteful number, since it uses less digits than its factorization.

71295117408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82517516 (or 82517502 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 71295117408 in words is "seventy-one billion, two hundred ninety-five million, one hundred seventeen thousand, four hundred eight".