242719447646800 has 30 divisors (see below), whose sum is σ = 583133472972398. Its totient is φ = 97087779058560.

The previous prime is 242719447646773. The next prime is 242719447646833. The reversal of 242719447646800 is 8646744917242.

It can be written as a sum of positive squares in 3 ways, for example, as 55707328576 + 242663740318224 = 236024^2 + 15577668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303399309159 + ... + 303399309958.

Almost surely, 2^{242719447646800} is an apocalyptic number.

242719447646800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242719447646800 is an abundant number, since it is smaller than the sum of its proper divisors (340414025325598).

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

242719447646800 is a wasteful number, since it uses less digits than its factorization.

242719447646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606798619135 (or 606798619124 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 242719447646800 in words is "two hundred forty-two trillion, seven hundred nineteen billion, four hundred forty-seven million, six hundred forty-six thousand, eight hundred".