242314180542720 has 2880 divisors, whose sum is σ = 1079978828544000. Its totient is φ = 51053160038400.

The previous prime is 242314180542649. The next prime is 242314180542739. The reversal of 242314180542720 is 27245081413242.

242314180542720 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 4 + 1 + 80 + 542 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17005690156 + ... + 17005704404.

It is an arithmetic number, because the mean of its divisors is an integer number (374992648800).

Almost surely, 2^{242314180542720} is an apocalyptic number.

242314180542720 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 242314180542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539989414272000).

242314180542720 is an abundant number, since it is smaller than the sum of its proper divisors (837664648001280).

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

242314180542720 is a wasteful number, since it uses less digits than its factorization.

242314180542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 242314180542720 in words is "two hundred forty-two trillion, three hundred fourteen billion, one hundred eighty million, five hundred forty-two thousand, seven hundred twenty".