242304111322400 has 72 divisors (see below), whose sum is σ = 592321043651904. Its totient is φ = 96791197932800.

The previous prime is 242304111322393. The next prime is 242304111322417. The reversal of 242304111322400 is 4223111403242.

It is a super-2 number, since 2×242304111322400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203228036 + ... + 204416835.

It is an arithmetic number, because the mean of its divisors is an integer number (8226681161832).

Almost surely, 2^{242304111322400} is an apocalyptic number.

242304111322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304111322400 is an abundant number, since it is smaller than the sum of its proper divisors (350016932329504).

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

242304111322400 is a wasteful number, since it uses less digits than its factorization.

242304111322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407645634 (or 407645621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 242304111322400 its reverse (4223111403242), we get a palindrome (246527222725642).

The spelling of 242304111322400 in words is "two hundred forty-two trillion, three hundred four billion, one hundred eleven million, three hundred twenty-two thousand, four hundred".