242413321200 has 120 divisors (see below), whose sum is σ = 778285269888. Its totient is φ = 64497488640.

The previous prime is 242413321147. The next prime is 242413321217. The reversal of 242413321200 is 2123314242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 303597 + ... + 759603.

Almost surely, 2^242413321200 is an apocalyptic number.

242413321200 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 242413321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389142634944).

242413321200 is an abundant number, since it is smaller than the sum of its proper divisors (535871948688).

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

242413321200 is a wasteful number, since it uses less digits than its factorization.

242413321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456471 (or 456460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242413321200 its reverse (2123314242), we get a palindrome (244536635442).

The spelling of 242413321200 in words is "two hundred forty-two billion, four hundred thirteen million, three hundred twenty-one thousand, two hundred".