442324023400 has 192 divisors, whose sum is σ = 1250049991680. Its totient is φ = 142091366400.

The previous prime is 442324023397. The next prime is 442324023403. The reversal of 442324023400 is 4320423244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442324023397) and next prime (442324023403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (442324023403) 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, 5265730 + ... + 5349070.

It is an arithmetic number, because the mean of its divisors is an integer number (6510677040).

Almost surely, 2^442324023400 is an apocalyptic number.

442324023400 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 442324023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625024995840).

442324023400 is an abundant number, since it is smaller than the sum of its proper divisors (807725968280).

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

442324023400 is a wasteful number, since it uses less digits than its factorization.

442324023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83604 (or 83595 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442324023400 its reverse (4320423244), we get a palindrome (446644446644).

The spelling of 442324023400 in words is "four hundred forty-two billion, three hundred twenty-four million, twenty-three thousand, four hundred".