71415406080 has 560 divisors, whose sum is σ = 271949295024. Its totient is φ = 17915904000.

The previous prime is 71415406043. The next prime is 71415406103. The reversal of 71415406080 is 8060451417.

It is a happy number.

71415406080 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 5 + 40 + 608 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31724955 + ... + 31727205.

Almost surely, 2^71415406080 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 71415406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135974647512).

71415406080 is an abundant number, since it is smaller than the sum of its proper divisors (200533888944).

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

71415406080 is an equidigital number, since it uses as much as digits as its factorization.

71415406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2278 counting only the distinct ones).

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

Adding to 71415406080 its reverse (8060451417), we get a palindrome (79475857497).

The spelling of 71415406080 in words is "seventy-one billion, four hundred fifteen million, four hundred six thousand, eighty".