14142432400 has 30 divisors (see below), whose sum is σ = 33977194802. Its totient is φ = 5656972800.

The previous prime is 14142432361. The next prime is 14142432433. The reversal of 14142432400 is 423424141.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 14112489616 = 5472^2 + 118796^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17677641 + ... + 17678440.

Almost surely, 2^14142432400 is an apocalyptic number.

14142432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142432400 is an abundant number, since it is smaller than the sum of its proper divisors (19834762402).

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

14142432400 is a wasteful number, since it uses less digits than its factorization.

14142432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35356099 (or 35356088 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14142432400 its reverse (423424141), we get a palindrome (14565856541).

The spelling of 14142432400 in words is "fourteen billion, one hundred forty-two million, four hundred thirty-two thousand, four hundred".