16428878314400 has 72 divisors (see below), whose sum is σ = 40114097533440. Its totient is φ = 6570388258560.

The previous prime is 16428878314397. The next prime is 16428878314411. The reversal of 16428878314400 is 441387882461.

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 11 ways as a sum of consecutive naturals, for example, 2712737 + ... + 6341663.

It is an arithmetic number, because the mean of its divisors is an integer number (557140243520).

Almost surely, 2^{16428878314400} is an apocalyptic number.

16428878314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16428878314400 is an abundant number, since it is smaller than the sum of its proper divisors (23685219219040).

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

16428878314400 is a wasteful number, since it uses less digits than its factorization.

16428878314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634606 (or 3634593 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 56.

The spelling of 16428878314400 in words is "sixteen trillion, four hundred twenty-eight billion, eight hundred seventy-eight million, three hundred fourteen thousand, four hundred".