16409288448000 has 3072 divisors, whose sum is σ = 72414590976000. Its totient is φ = 3633345331200.

The previous prime is 16409288447987. The next prime is 16409288448043. The reversal of 16409288448000 is 84488290461.

It is a happy number.

16409288448000 is a `hidden beast` number, since 1 + 64 + 0 + 9 + 28 + 84 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207712511961 + ... + 207712512039.

It is an arithmetic number, because the mean of its divisors is an integer number (23572458000).

Almost surely, 2^{16409288448000} is an apocalyptic number.

16409288448000 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 16409288448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36207295488000).

16409288448000 is an abundant number, since it is smaller than the sum of its proper divisors (56005302528000).

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

16409288448000 is an frugal number, since it uses more digits than its factorization.

16409288448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 16409288448000 in words is "sixteen trillion, four hundred nine billion, two hundred eighty-eight million, four hundred forty-eight thousand".