242446567050400 has 72 divisors (see below), whose sum is σ = 591883625265660. Its totient is φ = 96976833730560.

The previous prime is 242446567050379. The next prime is 242446567050421. The reversal of 242446567050400 is 4050765644242.

It is an interprime number because it is at equal distance from previous prime (242446567050379) and next prime (242446567050421).

It can be written as a sum of positive squares in 6 ways, for example, as 118373790720784 + 124072776329616 = 10879972^2 + 11138796^2 .

It is a super-2 number, since 2×242446567050400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40919206 + ... + 46467994.

Almost surely, 2^{242446567050400} is an apocalyptic number.

242446567050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242446567050400 is an abundant number, since it is smaller than the sum of its proper divisors (349437058215260).

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

242446567050400 is a wasteful number, since it uses less digits than its factorization.

242446567050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603426 (or 5603413 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 49.

The spelling of 242446567050400 in words is "two hundred forty-two trillion, four hundred forty-six billion, five hundred sixty-seven million, fifty thousand, four hundred".