242356641120000 has 2160 divisors, whose sum is σ = 974963349360000. Its totient is φ = 57385144320000.

The previous prime is 242356641119981. The next prime is 242356641120017. The reversal of 242356641120000 is 21146653242.

242356641120000 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 5 + 6 + 641 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 161678879251 + ... + 161678880749.

It is an arithmetic number, because the mean of its divisors is an integer number (451371921000).

Almost surely, 2^{242356641120000} is an apocalyptic number.

242356641120000 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 242356641120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487481674680000).

242356641120000 is an abundant number, since it is smaller than the sum of its proper divisors (732606708240000).

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

242356641120000 is a wasteful number, since it uses less digits than its factorization.

242356641120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 242356641120000 its reverse (21146653242), we get a palindrome (242377787773242).

The spelling of 242356641120000 in words is "two hundred forty-two trillion, three hundred fifty-six billion, six hundred forty-one million, one hundred twenty thousand".