14432402000 has 80 divisors (see below), whose sum is σ = 35152942032. Its totient is φ = 5730713600.

The previous prime is 14432401999. The next prime is 14432402011. The reversal of 14432402000 is 20423441.

It can be written as a sum of positive squares in 8 ways, for example, as 4672542736 + 9759859264 = 68356^2 + 98792^2 .

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 a congruent number.

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, 247664 + ... + 300336.

Almost surely, 2^14432402000 is an apocalyptic number.

14432402000 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 14432402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17576471016).

14432402000 is an abundant number, since it is smaller than the sum of its proper divisors (20720540032).

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

14432402000 is a wasteful number, since it uses less digits than its factorization.

14432402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52833 (or 52817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14432402000 its reverse (20423441), we get a palindrome (14452825441).

The spelling of 14432402000 in words is "fourteen billion, four hundred thirty-two million, four hundred two thousand".