242374721495040 has 168 divisors, whose sum is σ = 840181085413488. Its totient is φ = 64633258967040.

The previous prime is 242374721495029. The next prime is 242374721495041. The reversal of 242374721495040 is 40594127473242.

242374721495040 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 74 + 7 + 21 + 49 + 504 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242374721495041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328373116 + ... + 329110395.

It is an arithmetic number, because the mean of its divisors is an integer number (5001077889366).

Almost surely, 2^{242374721495040} is an apocalyptic number.

242374721495040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242374721495040 is an abundant number, since it is smaller than the sum of its proper divisors (597806363918448).

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

242374721495040 is an equidigital number, since it uses as much as digits as its factorization.

242374721495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657483548 (or 657483521 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 242374721495040 in words is "two hundred forty-two trillion, three hundred seventy-four billion, seven hundred twenty-one million, four hundred ninety-five thousand, forty".