10441853136 has 240 divisors, whose sum is σ = 35065255680. Its totient is φ = 2858388480.

The previous prime is 10441853113. The next prime is 10441853137. The reversal of 10441853136 is 63135814401.

10441853136 is a `hidden beast` number, since 1 + 0 + 441 + 85 + 3 + 136 = 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 10441853136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441853137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962430 + ... + 973218.

It is an arithmetic number, because the mean of its divisors is an integer number (146105232).

Almost surely, 2^10441853136 is an apocalyptic number.

10441853136 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 10441853136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532627840).

10441853136 is an abundant number, since it is smaller than the sum of its proper divisors (24623402544).

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

10441853136 is a wasteful number, since it uses less digits than its factorization.

10441853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10441853136 in words is "ten billion, four hundred forty-one million, eight hundred fifty-three thousand, one hundred thirty-six".