442484149440 has 224 divisors, whose sum is σ = 1513260896256. Its totient is φ = 109224529920.

The previous prime is 442484149439. The next prime is 442484149441. The reversal of 442484149440 is 44941484244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442484149439) and next prime (442484149441).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 442484149440.

It is not an unprimeable number, because it can be changed into a prime (442484149441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361254 + ... + 1007706.

Almost surely, 2^442484149440 is an apocalyptic number.

442484149440 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 442484149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756630448128).

442484149440 is an abundant number, since it is smaller than the sum of its proper divisors (1070776746816).

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

442484149440 is a wasteful number, since it uses less digits than its factorization.

442484149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646527 (or 646517 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 442484149440 in words is "four hundred forty-two billion, four hundred eighty-four million, one hundred forty-nine thousand, four hundred forty".