841006380096 has 315 divisors, whose sum is σ = 2556611493447. Its totient is φ = 273358437120.

The previous prime is 841006380079. The next prime is 841006380103. The reversal of 841006380096 is 690083600148.

The square root of 841006380096 is 917064.

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

841006380096 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 0 + 638 + 0 + 0 + 9 + 6 = 666.

841006380096 is digitally balanced in base 2, 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 44 ways as a sum of consecutive naturals, for example, 3103344441 + ... + 3103344711.

Almost surely, 2^841006380096 is an apocalyptic number.

841006380096 is the 917064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841006380096

841006380096 is an abundant number, since it is smaller than the sum of its proper divisors (1715605113351).

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

841006380096 is an frugal number, since it uses more digits than its factorization.

841006380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 841006380096 in words is "eight hundred forty-one billion, six million, three hundred eighty thousand, ninety-six".