71141390775 has 432 divisors, whose sum is σ = 172466461440. Its totient is φ = 28385510400.

The previous prime is 71141390773. The next prime is 71141390779. The reversal of 71141390775 is 57709314117.

It is not a de Polignac number, because 71141390775 - 2¹ = 71141390773 is a prime.

It is a super-2 number, since 2×71141390775² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 71141390775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71141390773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 136547515 + ... + 136548035.

It is an arithmetic number, because the mean of its divisors is an integer number (399227920).

Almost surely, 2^71141390775 is an apocalyptic number.

71141390775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71141390775 is an abundant number, since it is smaller than the sum of its proper divisors (101325070665).

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

71141390775 is a wasteful number, since it uses less digits than its factorization.

71141390775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 71141390775 in words is "seventy-one billion, one hundred forty-one million, three hundred ninety thousand, seven hundred seventy-five".