241242765250320 has 120 divisors (see below), whose sum is σ = 827411356676736. Its totient is φ = 62962650779904.

The previous prime is 241242765250303. The next prime is 241242765250321. The reversal of 241242765250320 is 23052567242142.

241242765250320 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 4 + 2 + 76 + 5 + 250 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (241242765250321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564427822 + ... + 3564495501.

Almost surely, 2^{241242765250320} is an apocalyptic number.

241242765250320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241242765250320 is an abundant number, since it is smaller than the sum of its proper divisors (586168591426416).

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

241242765250320 is a wasteful number, since it uses less digits than its factorization.

241242765250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128923389 (or 7128923380 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 241242765250320 in words is "two hundred forty-one trillion, two hundred forty-two billion, seven hundred sixty-five million, two hundred fifty thousand, three hundred twenty".