16881661440 has 1280 divisors, whose sum is σ = 75235184640. Its totient is φ = 3503554560.

The previous prime is 16881661429. The next prime is 16881661457. The reversal of 16881661440 is 4416618861.

16881661440 is a `hidden beast` number, since 16 + 8 + 8 + 16 + 614 + 4 + 0 = 666.

16881661440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×16881661440³ (a number of 32 digits) contains 333 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 411747820 + ... + 411747860.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^16881661440 is an apocalyptic number.

16881661440 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 16881661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37617592320).

16881661440 is an abundant number, since it is smaller than the sum of its proper divisors (58353523200).

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

16881661440 is a wasteful number, since it uses less digits than its factorization.

16881661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

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

The spelling of 16881661440 in words is "sixteen billion, eight hundred eighty-one million, six hundred sixty-one thousand, four hundred forty".