84081441024 has 243 divisors, whose sum is σ = 282334681083. Its totient is φ = 23995431936.

The previous prime is 84081441013. The next prime is 84081441047. The reversal of 84081441024 is 42014418048.

The square root of 84081441024 is 289968.

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

84081441024 is a `hidden beast` number, since 8 + 408 + 144 + 102 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84081441024.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97428817 + ... + 97429679.

Almost surely, 2^84081441024 is an apocalyptic number.

84081441024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

84081441024 is the 289968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84081441024

84081441024 is an abundant number, since it is smaller than the sum of its proper divisors (198253240059).

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

84081441024 is an frugal number, since it uses more digits than its factorization.

84081441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 84081441024 by its sum of digits (36), we get a square (3026931876864 = 1739808²).

84081441024 divided by its sum of digits (36) gives a square (2335595584 = 48328²).

The spelling of 84081441024 in words is "eighty-four billion, eighty-one million, four hundred forty-one thousand, twenty-four".