71142431155200 has 2112 divisors, whose sum is σ = 276571719824640. Its totient is φ = 18123728486400.

The previous prime is 71142431155153. The next prime is 71142431155219. The reversal of 71142431155200 is 255113424117.

71142431155200 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 2 + 431 + 15 + 5 + 200 = 666.

It is a super-2 number, since 2×71142431155200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126363110119 + ... + 126363110681.

Almost surely, 2^{71142431155200} 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 71142431155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138285859912320).

71142431155200 is an abundant number, since it is smaller than the sum of its proper divisors (205429288669440).

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

71142431155200 is an equidigital number, since it uses as much as digits as its factorization.

71142431155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 71142431155200 its reverse (255113424117), we get a palindrome (71397544579317).

The spelling of 71142431155200 in words is "seventy-one trillion, one hundred forty-two billion, four hundred thirty-one million, one hundred fifty-five thousand, two hundred".