442402421222400 has 1056 divisors, whose sum is σ = 1521063437137920. Its totient is φ = 113308328263680.

The previous prime is 442402421222381. The next prime is 442402421222431. The reversal of 442402421222400 is 4222124204244.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218254770187 + ... + 218254772213.

Almost surely, 2^{442402421222400} is an apocalyptic number.

442402421222400 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 442402421222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760531718568960).

442402421222400 is an abundant number, since it is smaller than the sum of its proper divisors (1078661015915520).

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

442402421222400 is a wasteful number, since it uses less digits than its factorization.

442402421222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 442402421222400 its reverse (4222124204244), we get a palindrome (446624545426644).

The spelling of 442402421222400 in words is "four hundred forty-two trillion, four hundred two billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred".