242230031431400 has 96 divisors (see below), whose sum is σ = 567574081192800. Its totient is φ = 96137106374400.

The previous prime is 242230031431363. The next prime is 242230031431403. The reversal of 242230031431400 is 4134130032242.

It is a super-3 number, since 3×242230031431400³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242230031431403) 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, 164931506 + ... + 166393694.

It is an arithmetic number, because the mean of its divisors is an integer number (5912230012425).

Almost surely, 2^{242230031431400} is an apocalyptic number.

242230031431400 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 242230031431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283787040596400).

242230031431400 is an abundant number, since it is smaller than the sum of its proper divisors (325344049761400).

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

242230031431400 is a wasteful number, since it uses less digits than its factorization.

242230031431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468659 (or 1468650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 242230031431400 its reverse (4134130032242), we get a palindrome (246364161463642).

The spelling of 242230031431400 in words is "two hundred forty-two trillion, two hundred thirty billion, thirty-one million, four hundred thirty-one thousand, four hundred".