242328441600 has 972 divisors, whose sum is σ = 1051928828496. Its totient is φ = 52966932480.

The previous prime is 242328441599. The next prime is 242328441613. The reversal of 242328441600 is 6144823242.

242328441600 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 2 + 8 + 4 + 41 + 600 = 666.

It is a super-2 number, since 2×242328441600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64913334 + ... + 64917066.

Almost surely, 2^242328441600 is an apocalyptic number.

242328441600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242328441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525964414248).

242328441600 is an abundant number, since it is smaller than the sum of its proper divisors (809600386896).

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

242328441600 is a wasteful number, since it uses less digits than its factorization.

242328441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 242328441600 in words is "two hundred forty-two billion, three hundred twenty-eight million, four hundred forty-one thousand, six hundred".