10441581696 has 1152 divisors, whose sum is σ = 42664527360. Its totient is φ = 2508226560.

The previous prime is 10441581691. The next prime is 10441581719. The reversal of 10441581696 is 69618514401.

10441581696 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 581 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (10441581691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336825201 + ... + 336825231.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^10441581696 is an apocalyptic number.

10441581696 is a gapful number since it is divisible by the number (16) 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 10441581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

10441581696 is an abundant number, since it is smaller than the sum of its proper divisors (32222945664).

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

10441581696 is a wasteful number, since it uses less digits than its factorization.

10441581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10441581696 in words is "ten billion, four hundred forty-one million, five hundred eighty-one thousand, six hundred ninety-six".