14400149400 has 864 divisors, whose sum is σ = 63868568400. Its totient is φ = 2874009600.

The previous prime is 14400149333. The next prime is 14400149417. The reversal of 14400149400 is 494100441.

14400149400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 21785070 + ... + 21785730.

Almost surely, 2^14400149400 is an apocalyptic number.

14400149400 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 14400149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31934284200).

14400149400 is an abundant number, since it is smaller than the sum of its proper divisors (49468419000).

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

14400149400 is a wasteful number, since it uses less digits than its factorization.

14400149400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14400149400 its reverse (494100441), we get a palindrome (14894249841).

The spelling of 14400149400 in words is "fourteen billion, four hundred million, one hundred forty-nine thousand, four hundred".