242232414000 has 160 divisors (see below), whose sum is σ = 802064991936. Its totient is φ = 62849433600.

The previous prime is 242232413989. The next prime is 242232414043. The reversal of 242232414000 is 414232242.

242232414000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323569 + ... + 767568.

Almost surely, 2^242232414000 is an apocalyptic number.

242232414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242232414000 is an abundant number, since it is smaller than the sum of its proper divisors (559832577936).

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

242232414000 is a wasteful number, since it uses less digits than its factorization.

242232414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091200 (or 1091184 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242232414000 its reverse (414232242), we get a palindrome (242646646242).

The spelling of 242232414000 in words is "two hundred forty-two billion, two hundred thirty-two million, four hundred fourteen thousand".