14445140400 has 360 divisors, whose sum is σ = 52895208240. Its totient is φ = 3744092160.

The previous prime is 14445140387. The next prime is 14445140443. The reversal of 14445140400 is 404154441.

14445140400 is a `hidden beast` number, since 144 + 4 + 514 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14784712 + ... + 14785688.

It is an arithmetic number, because the mean of its divisors is an integer number (146931134).

Almost surely, 2^14445140400 is an apocalyptic number.

14445140400 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 14445140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447604120).

14445140400 is an abundant number, since it is smaller than the sum of its proper divisors (38450067840).

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

14445140400 is a wasteful number, since it uses less digits than its factorization.

14445140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14445140400 its reverse (404154441), we get a palindrome (14849294841).

The spelling of 14445140400 in words is "fourteen billion, four hundred forty-five million, one hundred forty thousand, four hundred".