242332311400 has 96 divisors (see below), whose sum is σ = 584507064600. Its totient is φ = 93324492800.

The previous prime is 242332311391. The next prime is 242332311409. The reversal of 242332311400 is 4113233242.

It is an interprime number because it is at equal distance from previous prime (242332311391) and next prime (242332311409).

It can be written as a sum of positive squares in 12 ways, for example, as 75912372484 + 166419938916 = 275522^2 + 407946^2 .

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

It is not an unprimeable number, because it can be changed into a prime (242332311409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988220 + ... + 2106580.

Almost surely, 2^242332311400 is an apocalyptic number.

242332311400 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 242332311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292253532300).

242332311400 is an abundant number, since it is smaller than the sum of its proper divisors (342174753200).

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

242332311400 is a wasteful number, since it uses less digits than its factorization.

242332311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118759 (or 118750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 242332311400 its reverse (4113233242), we get a palindrome (246445544642).

The spelling of 242332311400 in words is "two hundred forty-two billion, three hundred thirty-two million, three hundred eleven thousand, four hundred".