4021444134400 has 240 divisors, whose sum is σ = 12421956729600. Its totient is φ = 1253436825600.

The previous prime is 4021444134377. The next prime is 4021444134403. The reversal of 4021444134400 is 44314441204.

It is a super-2 number, since 2×4021444134400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444134403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054500 + ... + 3025699.

It is an arithmetic number, because the mean of its divisors is an integer number (51758153040).

Almost surely, 2^{4021444134400} is an apocalyptic number.

4021444134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021444134400 is an abundant number, since it is smaller than the sum of its proper divisors (8400512595200).

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

4021444134400 is a wasteful number, since it uses less digits than its factorization.

4021444134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080245 (or 4080224 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 4021444134400 its reverse (44314441204), we get a palindrome (4065758575604).

The spelling of 4021444134400 in words is "four trillion, twenty-one billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred".