442428386400 has 3456 divisors, whose sum is σ = 2329086928896. Its totient is φ = 75910348800.

The previous prime is 442428386341. The next prime is 442428386401. The reversal of 442428386400 is 4683824244.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442428386401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2818015122 + ... + 2818015278.

It is an arithmetic number, because the mean of its divisors is an integer number (673925616).

Almost surely, 2^442428386400 is an apocalyptic number.

442428386400 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 442428386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164543464448).

442428386400 is an abundant number, since it is smaller than the sum of its proper divisors (1886658542496).

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

442428386400 is a wasteful number, since it uses less digits than its factorization.

442428386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

It can be divided in two parts, 442428 and 386400, that added together give a palindrome (828828).

The spelling of 442428386400 in words is "four hundred forty-two billion, four hundred twenty-eight million, three hundred eighty-six thousand, four hundred".