242214013754000 has 80 divisors (see below), whose sum is σ = 620124866829936. Its totient is φ = 91186452224000.

The previous prime is 242214013753973. The next prime is 242214013754039. The reversal of 242214013754000 is 457310412242.

It can be written as a sum of positive squares in 8 ways, for example, as 97413030998416 + 144800982755584 = 9869804^2 + 12033328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561936791 + ... + 3562004790.

Almost surely, 2^{242214013754000} is an apocalyptic number.

242214013754000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214013754000 is an abundant number, since it is smaller than the sum of its proper divisors (377910853075936).

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

242214013754000 is a wasteful number, since it uses less digits than its factorization.

242214013754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123941621 (or 7123941605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 242214013754000 in words is "two hundred forty-two trillion, two hundred fourteen billion, thirteen million, seven hundred fifty-four thousand".