71414078561280 has 3168 divisors, whose sum is σ = 323650594874880. Its totient is φ = 14965751808000.

The previous prime is 71414078561249. The next prime is 71414078561311. The reversal of 71414078561280 is 8216587041417.

It is a happy number.

71414078561280 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 4 + 0 + 78 + 561 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71414078561249) and next prime (71414078561311).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198925009741 + ... + 198925010099.

Almost surely, 2^{71414078561280} is an apocalyptic number.

71414078561280 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 71414078561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161825297437440).

71414078561280 is an abundant number, since it is smaller than the sum of its proper divisors (252236516313600).

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

71414078561280 is a wasteful number, since it uses less digits than its factorization.

71414078561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 71414078561280 in words is "seventy-one trillion, four hundred fourteen billion, seventy-eight million, five hundred sixty-one thousand, two hundred eighty".