4442023213400 has 192 divisors, whose sum is σ = 10935808634880. Its totient is φ = 1675469260800.

The previous prime is 4442023213399. The next prime is 4442023213409. The reversal of 4442023213400 is 43123202444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442023213409) 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, 66114224 + ... + 66181376.

It is an arithmetic number, because the mean of its divisors is an integer number (56957336640).

Almost surely, 2^{4442023213400} is an apocalyptic number.

4442023213400 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 4442023213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467904317440).

4442023213400 is an abundant number, since it is smaller than the sum of its proper divisors (6493785421480).

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

4442023213400 is a wasteful number, since it uses less digits than its factorization.

4442023213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67474 (or 67465 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4442023213400 its reverse (43123202444), we get a palindrome (4485146415844).

The spelling of 4442023213400 in words is "four trillion, four hundred forty-two billion, twenty-three million, two hundred thirteen thousand, four hundred".