442021234400 has 144 divisors (see below), whose sum is σ = 1084133048544. Its totient is φ = 175983329280.

The previous prime is 442021234379. The next prime is 442021234427. The reversal of 442021234400 is 4432120244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442021234400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205303724 + ... + 205305876.

It is an arithmetic number, because the mean of its divisors is an integer number (7528701726).

Almost surely, 2^442021234400 is an apocalyptic number.

442021234400 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 442021234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542066524272).

442021234400 is an abundant number, since it is smaller than the sum of its proper divisors (642111814144).

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

442021234400 is a wasteful number, since it uses less digits than its factorization.

442021234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442021234400 its reverse (4432120244), we get a palindrome (446453354644).

The spelling of 442021234400 in words is "four hundred forty-two billion, twenty-one million, two hundred thirty-four thousand, four hundred".