242103344022400 has 384 divisors, whose sum is σ = 728402553538560. Its totient is φ = 77708542771200.

The previous prime is 242103344022373. The next prime is 242103344022461. The reversal of 242103344022400 is 4220443301242.

It is a super-2 number, since 2×242103344022400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19215240 + ... + 29213560.

It is an arithmetic number, because the mean of its divisors is an integer number (1896881649840).

Almost surely, 2^{242103344022400} is an apocalyptic number.

242103344022400 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 242103344022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364201276769280).

242103344022400 is an abundant number, since it is smaller than the sum of its proper divisors (486299209516160).

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

242103344022400 is a wasteful number, since it uses less digits than its factorization.

242103344022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998422 (or 9998405 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 242103344022400 its reverse (4220443301242), we get a palindrome (246323787323642).

The spelling of 242103344022400 in words is "two hundred forty-two trillion, one hundred three billion, three hundred forty-four million, twenty-two thousand, four hundred".