14234411400 has 192 divisors, whose sum is σ = 49047664320. Its totient is φ = 3385574400.

The previous prime is 14234411353. The next prime is 14234411413. The reversal of 14234411400 is 411443241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329454 + ... + 370146.

It is an arithmetic number, because the mean of its divisors is an integer number (255456585).

Almost surely, 2^14234411400 is an apocalyptic number.

14234411400 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 14234411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24523832160).

14234411400 is an abundant number, since it is smaller than the sum of its proper divisors (34813252920).

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

14234411400 is a wasteful number, since it uses less digits than its factorization.

14234411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40776 (or 40767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14234411400 its reverse (411443241), we get a palindrome (14645854641).

The spelling of 14234411400 in words is "fourteen billion, two hundred thirty-four million, four hundred eleven thousand, four hundred".