71401124540160 has 288 divisors, whose sum is σ = 256582109952000. Its totient is φ = 18799282704384.

The previous prime is 71401124540147. The next prime is 71401124540189. The reversal of 71401124540160 is 6104542110417.

71401124540160 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 1 + 1 + 245 + 401 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 10345740 + ... + 15806219.

It is an arithmetic number, because the mean of its divisors is an integer number (890910104000).

Almost surely, 2^{71401124540160} is an apocalyptic number.

It is an amenable number.

71401124540160 is an abundant number, since it is smaller than the sum of its proper divisors (185180985411840).

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

71401124540160 is a wasteful number, since it uses less digits than its factorization.

71401124540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26152068 (or 26152048 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 71401124540160 its reverse (6104542110417), we get a palindrome (77505666650577).

The spelling of 71401124540160 in words is "seventy-one trillion, four hundred one billion, one hundred twenty-four million, five hundred forty thousand, one hundred sixty".