242585510400 has 360 divisors, whose sum is σ = 898095034980. Its totient is φ = 62457937920.

The previous prime is 242585510389. The next prime is 242585510407. The reversal of 242585510400 is 4015585242.

242585510400 is a `hidden beast` number, since 2 + 4 + 25 + 85 + 510 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 127843432704 + 114742077696 = 357552^2 + 338736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242585510407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3304494 + ... + 3377106.

Almost surely, 2^242585510400 is an apocalyptic number.

242585510400 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 242585510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449047517490).

242585510400 is an abundant number, since it is smaller than the sum of its proper divisors (655509524580).

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

242585510400 is a wasteful number, since it uses less digits than its factorization.

242585510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72676 (or 72652 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 242585510400 in words is "two hundred forty-two billion, five hundred eighty-five million, five hundred ten thousand, four hundred".