14399078400 has 960 divisors, whose sum is σ = 62930376960. Its totient is φ = 3185049600.

The previous prime is 14399078381. The next prime is 14399078413. The reversal of 14399078400 is 487099341.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464486385 + ... + 464486415.

It is an arithmetic number, because the mean of its divisors is an integer number (65552476).

Almost surely, 2^14399078400 is an apocalyptic number.

14399078400 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 14399078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465188480).

14399078400 is an abundant number, since it is smaller than the sum of its proper divisors (48531298560).

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

14399078400 is an frugal number, since it uses more digits than its factorization.

14399078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14399078400 in words is "fourteen billion, three hundred ninety-nine million, seventy-eight thousand, four hundred".