242513510400 has 1152 divisors, whose sum is σ = 1027689461760. Its totient is φ = 53508833280.

The previous prime is 242513510357. The next prime is 242513510417. The reversal of 242513510400 is 4015315242.

242513510400 is a `hidden beast` number, since 2 + 4 + 251 + 3 + 5 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1909555137 + ... + 1909555263.

Almost surely, 2^242513510400 is an apocalyptic number.

242513510400 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 242513510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513844730880).

242513510400 is an abundant number, since it is smaller than the sum of its proper divisors (785175951360).

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

242513510400 is a wasteful number, since it uses less digits than its factorization.

242513510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 242513510400 its reverse (4015315242), we get a palindrome (246528825642).

The spelling of 242513510400 in words is "two hundred forty-two billion, five hundred thirteen million, five hundred ten thousand, four hundred".