16440882100 has 72 divisors (see below), whose sum is σ = 36255492000. Its totient is φ = 6469921920.

The previous prime is 16440882097. The next prime is 16440882113. The reversal of 16440882100 is 128804461.

It is a super-3 number, since 3×16440882100³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10042482 + ... + 10044118.

It is an arithmetic number, because the mean of its divisors is an integer number (503548500).

Almost surely, 2^16440882100 is an apocalyptic number.

16440882100 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 16440882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127746000).

16440882100 is an abundant number, since it is smaller than the sum of its proper divisors (19814609900).

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

16440882100 is a wasteful number, since it uses less digits than its factorization.

16440882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 16440882100 in words is "sixteen billion, four hundred forty million, eight hundred eighty-two thousand, one hundred".