16810849440 has 864 divisors, whose sum is σ = 73811424960. Its totient is φ = 3473648640.

The previous prime is 16810849387. The next prime is 16810849453. The reversal of 16810849440 is 4494801861.

16810849440 is a `hidden beast` number, since 1 + 68 + 108 + 49 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 93915271 + ... + 93915449.

It is an arithmetic number, because the mean of its divisors is an integer number (85429890).

Almost surely, 2^16810849440 is an apocalyptic number.

16810849440 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 16810849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36905712480).

16810849440 is an abundant number, since it is smaller than the sum of its proper divisors (57000575520).

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

16810849440 is a wasteful number, since it uses less digits than its factorization.

16810849440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16810849440 in words is "sixteen billion, eight hundred ten million, eight hundred forty-nine thousand, four hundred forty".