16881402240000 has 440 divisors, whose sum is σ = 62473248973520. Its totient is φ = 4501702656000.

The previous prime is 16881402239953. The next prime is 16881402240007. The reversal of 16881402240000 is 4220418861.

16881402240000 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 1 + 402 + 240 + 0 + 0 + 0 = 666.

16881402240000 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (16881402240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16791534 + ... + 17768466.

It is an arithmetic number, because the mean of its divisors is an integer number (141984656758).

Almost surely, 2^{16881402240000} is an apocalyptic number.

16881402240000 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 16881402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236624486760).

16881402240000 is an abundant number, since it is smaller than the sum of its proper divisors (45591846733520).

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

16881402240000 is an frugal number, since it uses more digits than its factorization.

16881402240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976982 (or 976943 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 16881402240000 its reverse (4220418861), we get a palindrome (16885622658861).

The spelling of 16881402240000 in words is "sixteen trillion, eight hundred eighty-one billion, four hundred two million, two hundred forty thousand".