442786088448 has 240 divisors, whose sum is σ = 1439059894272. Its totient is φ = 129848832000.

The previous prime is 442786088441. The next prime is 442786088471. The reversal of 442786088448 is 844880687244.

It is a happy number.

442786088448 is a `hidden beast` number, since 4 + 42 + 78 + 6 + 0 + 88 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442786088441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430433 + ... + 1712223.

Almost surely, 2^442786088448 is an apocalyptic number.

442786088448 is a gapful number since it is divisible by the number (48) 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 442786088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719529947136).

442786088448 is an abundant number, since it is smaller than the sum of its proper divisors (996273805824).

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

442786088448 is a wasteful number, since it uses less digits than its factorization.

442786088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281857 (or 281838 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

The spelling of 442786088448 in words is "four hundred forty-two billion, seven hundred eighty-six million, eighty-eight thousand, four hundred forty-eight".