242002101400 has 96 divisors (see below), whose sum is σ = 580992814080. Its totient is φ = 93647952000.

The previous prime is 242002101361. The next prime is 242002101437. The reversal of 242002101400 is 4101200242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33668607 + ... + 33675793.

It is an arithmetic number, because the mean of its divisors is an integer number (6052008480).

Almost surely, 2^242002101400 is an apocalyptic number.

242002101400 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 242002101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290496407040).

242002101400 is an abundant number, since it is smaller than the sum of its proper divisors (338990712680).

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

242002101400 is a wasteful number, since it uses less digits than its factorization.

242002101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12656 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 242002101400 its reverse (4101200242), we get a palindrome (246103301642).

The spelling of 242002101400 in words is "two hundred forty-two billion, two million, one hundred one thousand, four hundred".