242351355040000 has 90 divisors (see below), whose sum is σ = 604501529363270. Its totient is φ = 96940541952000.

The previous prime is 242351355039947. The next prime is 242351355040013. The reversal of 242351355040000 is 40553153242.

It can be written as a sum of positive squares in 5 ways, for example, as 178055076937984 + 64296278102016 = 13343728^2 + 8018496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 757187985 + ... + 757507984.

Almost surely, 2^{242351355040000} is an apocalyptic number.

242351355040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242351355040000 is an abundant number, since it is smaller than the sum of its proper divisors (362150174323270).

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

242351355040000 is an frugal number, since it uses more digits than its factorization.

242351355040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514696005 (or 1514695976 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 242351355040000 in words is "two hundred forty-two trillion, three hundred fifty-one billion, three hundred fifty-five million, forty thousand".