16390816041600 has 2880 divisors, whose sum is σ = 81841077669120. Its totient is φ = 3143345356800.

The previous prime is 16390816041563. The next prime is 16390816041601. The reversal of 16390816041600 is 614061809361.

16390816041600 is a `hidden beast` number, since 1 + 6 + 39 + 0 + 8 + 1 + 6 + 0 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16390816041601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2854048329 + ... + 2854054071.

Almost surely, 2^{16390816041600} is an apocalyptic number.

16390816041600 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 16390816041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920538834560).

16390816041600 is an abundant number, since it is smaller than the sum of its proper divisors (65450261627520).

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

16390816041600 is a wasteful number, since it uses less digits than its factorization.

16390816041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16390816041600 in words is "sixteen trillion, three hundred ninety billion, eight hundred sixteen million, forty-one thousand, six hundred".