71414567641200 has 480 divisors, whose sum is σ = 275363150233600. Its totient is φ = 15455354895360.

The previous prime is 71414567641199. The next prime is 71414567641211. The reversal of 71414567641200 is 214676541417.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71414567641200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280609209 + ... + 280863591.

Almost surely, 2^{71414567641200} is an apocalyptic number.

71414567641200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71414567641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137681575116800).

71414567641200 is an abundant number, since it is smaller than the sum of its proper divisors (203948582592400).

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

71414567641200 is a wasteful number, since it uses less digits than its factorization.

71414567641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256189 (or 256178 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 71414567641200 in words is "seventy-one trillion, four hundred fourteen billion, five hundred sixty-seven million, six hundred forty-one thousand, two hundred".