4142242344600 has 288 divisors, whose sum is σ = 14467870872000. Its totient is φ = 1061138257920.

The previous prime is 4142242344577. The next prime is 4142242344619. The reversal of 4142242344600 is 64432422414.

4142242344600 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 4 + 2 + 3 + 44 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4867756 + ... + 5655044.

It is an arithmetic number, because the mean of its divisors is an integer number (50235662750).

Almost surely, 2^{4142242344600} is an apocalyptic number.

4142242344600 is a gapful number since it is divisible by the number (40) 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 4142242344600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233935436000).

4142242344600 is an abundant number, since it is smaller than the sum of its proper divisors (10325628527400).

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

4142242344600 is a wasteful number, since it uses less digits than its factorization.

4142242344600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787427 (or 787415 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4142242344600 in words is "four trillion, one hundred forty-two billion, two hundred forty-two million, three hundred forty-four thousand, six hundred".