16310683220400 has 1440 divisors, whose sum is σ = 62216339328000. Its totient is φ = 3943469629440.

The previous prime is 16310683220347. The next prime is 16310683220411. The reversal of 16310683220400 is 402238601361.

16310683220400 is a `hidden beast` number, since 1 + 6 + 310 + 6 + 83 + 220 + 40 + 0 = 666.

It is a super-2 number, since 2×16310683220400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 31186774539 + ... + 31186775061.

It is an arithmetic number, because the mean of its divisors is an integer number (43205791200).

Almost surely, 2^{16310683220400} is an apocalyptic number.

16310683220400 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 16310683220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108169664000).

16310683220400 is an abundant number, since it is smaller than the sum of its proper divisors (45905656107600).

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

16310683220400 is a wasteful number, since it uses less digits than its factorization.

16310683220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16310683220400 in words is "sixteen trillion, three hundred ten billion, six hundred eighty-three million, two hundred twenty thousand, four hundred".