332042333104040 has 192 divisors, whose sum is σ = 831204125256960. Its totient is φ = 119235776025600.

The previous prime is 332042333103983. The next prime is 332042333104061. The reversal of 332042333104040 is 40401333240233.

It is a super-2 number, since 2×332042333104040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332042333103988 and 332042333104006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587749787 + ... + 588314453.

It is an arithmetic number, because the mean of its divisors is an integer number (4329188152380).

Almost surely, 2^{332042333104040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332042333104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415602062628480).

332042333104040 is an abundant number, since it is smaller than the sum of its proper divisors (499161792152920).

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

332042333104040 is a wasteful number, since it uses less digits than its factorization.

332042333104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567092 (or 567075 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 332042333104040 its reverse (40401333240233), we get a palindrome (372443666344273).

The spelling of 332042333104040 in words is "three hundred thirty-two trillion, forty-two billion, three hundred thirty-three million, one hundred four thousand, forty".