242801793561600 has 9504 divisors, whose sum is σ = 1263585106210560. Its totient is φ = 44442908098560.

The previous prime is 242801793561599. The next prime is 242801793561601. The reversal of 242801793561600 is 6165397108242.

It is a happy number.

242801793561600 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 0 + 1 + 79 + 3 + 561 + 6 + 0 + 0 = 666.

242801793561600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242801793561599) and next prime (242801793561601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242801793561601) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 6562210636782 + ... + 6562210636818.

It is a 1-persistent number, because it is pandigital, but 2⋅242801793561600 = 485603587123200 is not.

Almost surely, 2^{242801793561600} is an apocalyptic number.

242801793561600 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 242801793561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631792553105280).

242801793561600 is an abundant number, since it is smaller than the sum of its proper divisors (1020783312648960).

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

242801793561600 is a wasteful number, since it uses less digits than its factorization.

242801793561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 242801793561600 in words is "two hundred forty-two trillion, eight hundred one billion, seven hundred ninety-three million, five hundred sixty-one thousand, six hundred".