71414951961600 has 3168 divisors, whose sum is σ = 303767298481920. Its totient is φ = 16494097858560.

The previous prime is 71414951961581. The next prime is 71414951961607. The reversal of 71414951961600 is 616915941417.

71414951961600 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 4 + 9 + 5 + 19 + 616 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71414951961607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86773938789 + ... + 86773939611.

Almost surely, 2^{71414951961600} 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 71414951961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151883649240960).

71414951961600 is an abundant number, since it is smaller than the sum of its proper divisors (232352346520320).

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

71414951961600 is a wasteful number, since it uses less digits than its factorization.

71414951961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 71414951961600 in words is "seventy-one trillion, four hundred fourteen billion, nine hundred fifty-one million, nine hundred sixty-one thousand, six hundred".