71083814630400 has 7920 divisors, whose sum is σ = 347702772820480. Its totient is φ = 14189395968000.

The previous prime is 71083814630383. The next prime is 71083814630417. The reversal of 71083814630400 is 403641838017.

71083814630400 is a `hidden beast` number, since 7 + 1 + 0 + 8 + 3 + 8 + 1 + 4 + 630 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71083814630383) and next prime (71083814630417).

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1921184179182 + ... + 1921184179218.

Almost surely, 2^{71083814630400} 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 71083814630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173851386410240).

71083814630400 is an abundant number, since it is smaller than the sum of its proper divisors (276618958190080).

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

71083814630400 is a wasteful number, since it uses less digits than its factorization.

71083814630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 71083814630400 in words is "seventy-one trillion, eighty-three billion, eight hundred fourteen million, six hundred thirty thousand, four hundred".