442421303400 has 288 divisors, whose sum is σ = 1561947528960. Its totient is φ = 116361930240.

The previous prime is 442421303399. The next prime is 442421303411. The reversal of 442421303400 is 4303124244.

It is a happy number.

442421303400 is a `hidden beast` number, since 4 + 4 + 242 + 13 + 0 + 3 + 400 = 666.

442421303400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3485449 + ... + 3610151.

It is an arithmetic number, because the mean of its divisors is an integer number (5423428920).

Almost surely, 2^442421303400 is an apocalyptic number.

442421303400 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 442421303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780973764480).

442421303400 is an abundant number, since it is smaller than the sum of its proper divisors (1119526225560).

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

442421303400 is a wasteful number, since it uses less digits than its factorization.

442421303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124807 (or 124786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442421303400 its reverse (4303124244), we get a palindrome (446724427644).

The spelling of 442421303400 in words is "four hundred forty-two billion, four hundred twenty-one million, three hundred three thousand, four hundred".