4024242442000 has 240 divisors, whose sum is σ = 10701331070976. Its totient is φ = 1462582176000.

The previous prime is 4024242441977. The next prime is 4024242442007. The reversal of 4024242442000 is 2442424204.

4024242442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4024242442000.

It is not an unprimeable number, because it can be changed into a prime (4024242442007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655090929 + ... + 655097071.

Almost surely, 2^{4024242442000} is an apocalyptic number.

4024242442000 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 4024242442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350665535488).

4024242442000 is an abundant number, since it is smaller than the sum of its proper divisors (6677088628976).

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

4024242442000 is a wasteful number, since it uses less digits than its factorization.

4024242442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4024242442000 its reverse (2442424204), we get a palindrome (4026684866204).

The spelling of 4024242442000 in words is "four trillion, twenty-four billion, two hundred forty-two million, four hundred forty-two thousand".