14028386400 has 648 divisors, whose sum is σ = 60954926760. Its totient is φ = 3016581120.

The previous prime is 14028386381. The next prime is 14028386401. The reversal of 14028386400 is 468382041.

14028386400 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 8 + 3 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14028386401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5996431 + ... + 5998769.

It is an arithmetic number, because the mean of its divisors is an integer number (94066245).

Almost surely, 2^14028386400 is an apocalyptic number.

14028386400 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 14028386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477463380).

14028386400 is an abundant number, since it is smaller than the sum of its proper divisors (46926540360).

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

14028386400 is a wasteful number, since it uses less digits than its factorization.

14028386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14028386400 in words is "fourteen billion, twenty-eight million, three hundred eighty-six thousand, four hundred".