81882447229440 has 6400 divisors, whose sum is σ = 388094760345600. Its totient is φ = 16186422067200.

The previous prime is 81882447229381. The next prime is 81882447229549. The reversal of 81882447229440 is 4492274428818.

81882447229440 is a `hidden beast` number, since 8 + 1 + 8 + 82 + 44 + 72 + 2 + 9 + 440 = 666.

81882447229440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 920027496916 + ... + 920027497004.

It is an arithmetic number, because the mean of its divisors is an integer number (60639806304).

Almost surely, 2^{81882447229440} is an apocalyptic number.

81882447229440 is a gapful number since it is divisible by the number (80) 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 81882447229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194047380172800).

81882447229440 is an abundant number, since it is smaller than the sum of its proper divisors (306212313116160).

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

81882447229440 is a wasteful number, since it uses less digits than its factorization.

81882447229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 81882447229440 in words is "eighty-one trillion, eight hundred eighty-two billion, four hundred forty-seven million, two hundred twenty-nine thousand, four hundred forty".