4021444133424 has 320 divisors, whose sum is σ = 12045086208000. Its totient is φ = 1283157780480.

The previous prime is 4021444133341. The next prime is 4021444133489. The reversal of 4021444133424 is 4243314441204.

4021444133424 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 13 + 3 + 424 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159249962 + ... + 1159253430.

It is an arithmetic number, because the mean of its divisors is an integer number (37640894400).

Almost surely, 2^{4021444133424} 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 4021444133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022543104000).

4021444133424 is an abundant number, since it is smaller than the sum of its proper divisors (8023642074576).

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

4021444133424 is a wasteful number, since it uses less digits than its factorization.

4021444133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4421 counting only the distinct ones).

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

Adding to 4021444133424 its reverse (4243314441204), we get a palindrome (8264758574628).

The spelling of 4021444133424 in words is "four trillion, twenty-one billion, four hundred forty-four million, one hundred thirty-three thousand, four hundred twenty-four".