4042421201024 has 128 divisors (see below), whose sum is σ = 8370373939200. Its totient is φ = 1942564377600.

The previous prime is 4042421201003. The next prime is 4042421201041. The reversal of 4042421201024 is 4201021242404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4042421200984 and 4042421201002.

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 15 ways as a sum of consecutive naturals, for example, 377403029 + ... + 377413739.

It is an arithmetic number, because the mean of its divisors is an integer number (65393546400).

Almost surely, 2^{4042421201024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042421201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185186969600).

4042421201024 is an abundant number, since it is smaller than the sum of its proper divisors (4327952738176).

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

4042421201024 is a wasteful number, since it uses less digits than its factorization.

4042421201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4042421201024 its reverse (4201021242404), we get a palindrome (8243442443428).

The spelling of 4042421201024 in words is "four trillion, forty-two billion, four hundred twenty-one million, two hundred one thousand, twenty-four".