442808042640 has 240 divisors, whose sum is σ = 1482121239360. Its totient is φ = 109313187840.

The previous prime is 442808042629. The next prime is 442808042647. The reversal of 442808042640 is 46240808244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 442808042592 and 442808042601.

It is not an unprimeable number, because it can be changed into a prime (442808042647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178631 + ... + 4283289.

It is an arithmetic number, because the mean of its divisors is an integer number (6175505164).

Almost surely, 2^442808042640 is an apocalyptic number.

442808042640 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 442808042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741060619680).

442808042640 is an abundant number, since it is smaller than the sum of its proper divisors (1039313196720).

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

442808042640 is a wasteful number, since it uses less digits than its factorization.

442808042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104770 (or 104747 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 442808042640 in words is "four hundred forty-two billion, eight hundred eight million, forty-two thousand, six hundred forty".