10850466240 has 448 divisors, whose sum is σ = 41854648320. Its totient is φ = 2634301440.

The previous prime is 10850466233. The next prime is 10850466293. The reversal of 10850466240 is 4266405801.

10850466240 is a `hidden beast` number, since 108 + 50 + 466 + 2 + 40 = 666.

10850466240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10850466195 and 10850466204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4552089 + ... + 4554471.

Almost surely, 2^10850466240 is an apocalyptic number.

10850466240 is a gapful number since it is divisible by the number (10) 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 10850466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927324160).

10850466240 is an abundant number, since it is smaller than the sum of its proper divisors (31004182080).

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

10850466240 is a wasteful number, since it uses less digits than its factorization.

10850466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10850466240 in words is "ten billion, eight hundred fifty million, four hundred sixty-six thousand, two hundred forty".