71945681126400 has 891 divisors, whose sum is σ = 264649766853199. Its totient is φ = 18674147328000.

The previous prime is 71945681126387. The next prime is 71945681126437. The reversal of 71945681126400 is 462118654917.

The square root of 71945681126400 is 8482080.

It is a perfect power (a square), and thus also a powerful number.

71945681126400 is a `hidden beast` number, since 7 + 1 + 9 + 4 + 568 + 1 + 12 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30283097048064 + 41662584078336 = 5503008^2 + 6454656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166927334185 + ... + 166927334615.

Almost surely, 2^{71945681126400} is an apocalyptic number.

71945681126400 is the 8482080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71945681126400

71945681126400 is an abundant number, since it is smaller than the sum of its proper divisors (192704085726799).

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

71945681126400 is an equidigital number, since it uses as much as digits as its factorization.

71945681126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 71945681126400 in words is "seventy-one trillion, nine hundred forty-five billion, six hundred eighty-one million, one hundred twenty-six thousand, four hundred".