71941486141440 has 448 divisors, whose sum is σ = 258650583739200. Its totient is φ = 18968815337472.

The previous prime is 71941486141391. The next prime is 71941486141451. The reversal of 71941486141440 is 4414168414917.

71941486141440 is a `hidden beast` number, since 7 + 1 + 9 + 4 + 1 + 4 + 8 + 614 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98061424 + ... + 98792336.

Almost surely, 2^{71941486141440} 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 71941486141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325291869600).

71941486141440 is an abundant number, since it is smaller than the sum of its proper divisors (186709097597760).

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

71941486141440 is an equidigital number, since it uses as much as digits as its factorization.

71941486141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731042 (or 731012 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 71941486141440 in words is "seventy-one trillion, nine hundred forty-one billion, four hundred eighty-six million, one hundred forty-one thousand, four hundred forty".