242235004202400 has 576 divisors, whose sum is σ = 877159764182016. Its totient is φ = 57572305920000.

The previous prime is 242235004202297. The next prime is 242235004202459. The reversal of 242235004202400 is 4202400532242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321466075 + ... + 322218725.

It is an arithmetic number, because the mean of its divisors is an integer number (1522846812816).

Almost surely, 2^{242235004202400} is an apocalyptic number.

242235004202400 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 242235004202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438579882091008).

242235004202400 is an abundant number, since it is smaller than the sum of its proper divisors (634924759979616).

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

242235004202400 is a wasteful number, since it uses less digits than its factorization.

242235004202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752925 (or 752912 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 242235004202400 its reverse (4202400532242), we get a palindrome (246437404734642).

The spelling of 242235004202400 in words is "two hundred forty-two trillion, two hundred thirty-five billion, four million, two hundred two thousand, four hundred".