14205400008 has 128 divisors (see below), whose sum is σ = 37825920000. Its totient is φ = 4433045760.

The previous prime is 14205399983. The next prime is 14205400051. The reversal of 14205400008 is 80000450241.

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 31 ways as a sum of consecutive naturals, for example, 23714893 + ... + 23715491.

It is an arithmetic number, because the mean of its divisors is an integer number (295515000).

Almost surely, 2^14205400008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14205400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912960000).

14205400008 is an abundant number, since it is smaller than the sum of its proper divisors (23620519992).

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

14205400008 is a wasteful number, since it uses less digits than its factorization.

14205400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14205400008 its reverse (80000450241), we get a palindrome (94205850249).

The spelling of 14205400008 in words is "fourteen billion, two hundred five million, four hundred thousand, eight".