442411044240 has 160 divisors (see below), whose sum is σ = 1501029927936. Its totient is φ = 106901614080.

The previous prime is 442411044233. The next prime is 442411044281. The reversal of 442411044240 is 42440114244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442411044198 and 442411044207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537549 + ... + 1083411.

Almost surely, 2^442411044240 is an apocalyptic number.

442411044240 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 442411044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750514963968).

442411044240 is an abundant number, since it is smaller than the sum of its proper divisors (1058618883696).

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

442411044240 is a wasteful number, since it uses less digits than its factorization.

442411044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546197 (or 546191 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 442411044240 its reverse (42440114244), we get a palindrome (484851158484).

The spelling of 442411044240 in words is "four hundred forty-two billion, four hundred eleven million, forty-four thousand, two hundred forty".