14400314100 has 216 divisors, whose sum is σ = 48174916608. Its totient is φ = 3585254400.

The previous prime is 14400314051. The next prime is 14400314101. The reversal of 14400314100 is 141300441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400314101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1939395 + ... + 1946805.

Almost surely, 2^14400314100 is an apocalyptic number.

14400314100 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 14400314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24087458304).

14400314100 is an abundant number, since it is smaller than the sum of its proper divisors (33774602508).

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

14400314100 is a wasteful number, since it uses less digits than its factorization.

14400314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14400314100 its reverse (141300441), we get a palindrome (14541614541).

The spelling of 14400314100 in words is "fourteen billion, four hundred million, three hundred fourteen thousand, one hundred".