242004202400 has 72 divisors (see below), whose sum is σ = 590871767724. Its totient is φ = 96788736000.

The previous prime is 242004202367. The next prime is 242004202411. The reversal of 242004202400 is 4202400242.

It can be written as a sum of positive squares in 6 ways, for example, as 116600395024 + 125403807376 = 341468^2 + 354124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7905524 + ... + 7936076.

Almost surely, 2^242004202400 is an apocalyptic number.

242004202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242004202400 is an abundant number, since it is smaller than the sum of its proper divisors (348867565324).

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

242004202400 is a wasteful number, since it uses less digits than its factorization.

242004202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40474 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242004202400 its reverse (4202400242), we get a palindrome (246206602642).

The spelling of 242004202400 in words is "two hundred forty-two billion, four million, two hundred two thousand, four hundred".