242000454321440 has 48 divisors (see below), whose sum is σ = 571727095184448. Its totient is φ = 96800008717056.

The previous prime is 242000454321377. The next prime is 242000454321511. The reversal of 242000454321440 is 44123454000242.

It is a self number, because there is not a number n which added to its sum of digits gives 242000454321440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125585069 + ... + 127497491.

It is an arithmetic number, because the mean of its divisors is an integer number (11910981149676).

Almost surely, 2^{242000454321440} is an apocalyptic number.

242000454321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242000454321440 is an abundant number, since it is smaller than the sum of its proper divisors (329726640863008).

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

242000454321440 is a wasteful number, since it uses less digits than its factorization.

242000454321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703321 (or 2703313 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 242000454321440 in words is "two hundred forty-two trillion, four hundred fifty-four million, three hundred twenty-one thousand, four hundred forty".