442103233440 has 192 divisors, whose sum is σ = 1533427822080. Its totient is φ = 106174755840.

The previous prime is 442103233391. The next prime is 442103233459. The reversal of 442103233440 is 44332301244.

It is a happy number.

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 = 442103233398 and 442103233407.

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, 173691 + ... + 956229.

It is an arithmetic number, because the mean of its divisors is an integer number (7986603240).

Almost surely, 2^442103233440 is an apocalyptic number.

442103233440 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 442103233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766713911040).

442103233440 is an abundant number, since it is smaller than the sum of its proper divisors (1091324588640).

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

442103233440 is a wasteful number, since it uses less digits than its factorization.

442103233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782675 (or 782667 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 442103233440 its reverse (44332301244), we get a palindrome (486435534684).

The spelling of 442103233440 in words is "four hundred forty-two billion, one hundred three million, two hundred thirty-three thousand, four hundred forty".