2142440432300 has 288 divisors, whose sum is σ = 5619888637440. Its totient is φ = 693710438400.

The previous prime is 2142440432287. The next prime is 2142440432303. The reversal of 2142440432300 is 32340442412.

It is not an unprimeable number, because it can be changed into a prime (2142440432303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108320012 + ... + 108339788.

Almost surely, 2^{2142440432300} is an apocalyptic number.

2142440432300 is a gapful number since it is divisible by the number (20) 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 2142440432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809944318720).

2142440432300 is an abundant number, since it is smaller than the sum of its proper divisors (3477448205140).

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

2142440432300 is a wasteful number, since it uses less digits than its factorization.

2142440432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19961 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2142440432300 its reverse (32340442412), we get a palindrome (2174780874712).

The spelling of 2142440432300 in words is "two trillion, one hundred forty-two billion, four hundred forty million, four hundred thirty-two thousand, three hundred".