442473110400 has 192 divisors, whose sum is σ = 1457838835200. Its totient is φ = 117956966400.

The previous prime is 442473110399. The next prime is 442473110411. The reversal of 442473110400 is 4011374244.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50674035 + ... + 50682765.

It is an arithmetic number, because the mean of its divisors is an integer number (7592910600).

Almost surely, 2^442473110400 is an apocalyptic number.

442473110400 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 442473110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728919417600).

442473110400 is an abundant number, since it is smaller than the sum of its proper divisors (1015365724800).

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

442473110400 is a wasteful number, since it uses less digits than its factorization.

442473110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 442473110400 its reverse (4011374244), we get a palindrome (446484484644).

The spelling of 442473110400 in words is "four hundred forty-two billion, four hundred seventy-three million, one hundred ten thousand, four hundred".