16428173126400 has 1296 divisors, whose sum is σ = 70353408093696. Its totient is φ = 3575864033280.

The previous prime is 16428173126353. The next prime is 16428173126503. The reversal of 16428173126400 is 462137182461.

16428173126400 is a `hidden beast` number, since 1 + 6 + 42 + 81 + 7 + 3 + 126 + 400 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 2160744999 + ... + 2160752601.

Almost surely, 2^{16428173126400} is an apocalyptic number.

16428173126400 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 16428173126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176704046848).

16428173126400 is an abundant number, since it is smaller than the sum of its proper divisors (53925234967296).

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

16428173126400 is a wasteful number, since it uses less digits than its factorization.

16428173126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16428173126400 in words is "sixteen trillion, four hundred twenty-eight billion, one hundred seventy-three million, one hundred twenty-six thousand, four hundred".