242330240400 has 60 divisors (see below), whose sum is σ = 776264540592. Its totient is φ = 64621397120.

The previous prime is 242330240393. The next prime is 242330240419. The reversal of 242330240400 is 4042033242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 100969734 + ... + 100972133.

Almost surely, 2^242330240400 is an apocalyptic number.

242330240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242330240400 is an abundant number, since it is smaller than the sum of its proper divisors (533934300192).

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

242330240400 is a wasteful number, since it uses less digits than its factorization.

242330240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201941888 (or 201941877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 242330240400 its reverse (4042033242), we get a palindrome (246372273642).

The spelling of 242330240400 in words is "two hundred forty-two billion, three hundred thirty million, two hundred forty thousand, four hundred".