14034104400 has 240 divisors, whose sum is σ = 45619423424. Its totient is φ = 3687690240.

The previous prime is 14034104377. The next prime is 14034104407. The reversal of 14034104400 is 440143041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034104407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30708972 + ... + 30709428.

Almost surely, 2^14034104400 is an apocalyptic number.

14034104400 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 14034104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809711712).

14034104400 is an abundant number, since it is smaller than the sum of its proper divisors (31585319024).

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

14034104400 is a wasteful number, since it uses less digits than its factorization.

14034104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14034104400 its reverse (440143041), we get a palindrome (14474247441).

The spelling of 14034104400 in words is "fourteen billion, thirty-four million, one hundred four thousand, four hundred".