71204442909600 has 4608 divisors, whose sum is σ = 336731087831040. Its totient is φ = 12582936576000.

The previous prime is 71204442909599. The next prime is 71204442909629. The reversal of 71204442909600 is 690924440217.

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 71204442909600.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 411586375114 + ... + 411586375286.

It is an arithmetic number, because the mean of its divisors is an integer number (73075322880).

Almost surely, 2^{71204442909600} is an apocalyptic number.

71204442909600 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 71204442909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168365543915520).

71204442909600 is an abundant number, since it is smaller than the sum of its proper divisors (265526644921440).

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

71204442909600 is a wasteful number, since it uses less digits than its factorization.

71204442909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 71204442909600 in words is "seventy-one trillion, two hundred four billion, four hundred forty-two million, nine hundred nine thousand, six hundred".