14410442000 has 80 divisors (see below), whose sum is σ = 34872125184. Its totient is φ = 5759600000.

The previous prime is 14410441993. The next prime is 14410442027. The reversal of 14410442000 is 24401441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740075 + ... + 3743925.

Almost surely, 2^14410442000 is an apocalyptic number.

14410442000 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 14410442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436062592).

14410442000 is an abundant number, since it is smaller than the sum of its proper divisors (20461683184).

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

14410442000 is a wasteful number, since it uses less digits than its factorization.

14410442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14410442000 its reverse (24401441), we get a palindrome (14434843441).

The spelling of 14410442000 in words is "fourteen billion, four hundred ten million, four hundred forty-two thousand".