71121309408 has 36 divisors (see below), whose sum is σ = 202251224448. Its totient is φ = 23707103040.

The previous prime is 71121309407. The next prime is 71121309419. The reversal of 71121309408 is 80490312117.

It is a happy number.

71121309408 is a `hidden beast` number, since 7 + 112 + 130 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71121309407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123474208 + ... + 123474783.

It is an arithmetic number, because the mean of its divisors is an integer number (5618089568).

Almost surely, 2^71121309408 is an apocalyptic number.

It is an amenable number.

71121309408 is an abundant number, since it is smaller than the sum of its proper divisors (131129915040).

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

71121309408 is a wasteful number, since it uses less digits than its factorization.

71121309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246949007 (or 246948996 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 71121309408 in words is "seventy-one billion, one hundred twenty-one million, three hundred nine thousand, four hundred eight".