382582043424 has 960 divisors, whose sum is σ = 1406300797440. Its totient is φ = 99632332800.

The previous prime is 382582043387. The next prime is 382582043477. The reversal of 382582043424 is 424340285283.

382582043424 is a `hidden beast` number, since 3 + 8 + 2 + 582 + 0 + 43 + 4 + 24 = 666.

It is a super-3 number, since 3×382582043424³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382582043424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1222306692 + ... + 1222307004.

It is an arithmetic number, because the mean of its divisors is an integer number (1464896664).

Almost surely, 2^382582043424 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 382582043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703150398720).

382582043424 is an abundant number, since it is smaller than the sum of its proper divisors (1023718754016).

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

382582043424 is a wasteful number, since it uses less digits than its factorization.

382582043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 382582043424 in words is "three hundred eighty-two billion, five hundred eighty-two million, forty-three thousand, four hundred twenty-four".