14778728400 has 120 divisors (see below), whose sum is σ = 47801216320. Its totient is φ = 3902699520.

The previous prime is 14778728387. The next prime is 14778728411. The reversal of 14778728400 is 482787741.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14778728400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63816 + ... + 183384.

Almost surely, 2^14778728400 is an apocalyptic number.

14778728400 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 14778728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23900608160).

14778728400 is an abundant number, since it is smaller than the sum of its proper divisors (33022487920).

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

14778728400 is a wasteful number, since it uses less digits than its factorization.

14778728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119693 (or 119682 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 14778728400 in words is "fourteen billion, seven hundred seventy-eight million, seven hundred twenty-eight thousand, four hundred".