382024529040 has 1920 divisors, whose sum is σ = 1723569684480. Its totient is φ = 68743987200.

The previous prime is 382024528973. The next prime is 382024529041. The reversal of 382024529040 is 40925420283.

382024529040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 382024529040.

It is not an unprimeable number, because it can be changed into a prime (382024529041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1713114369 + ... + 1713114591.

It is an arithmetic number, because the mean of its divisors is an integer number (897692544).

Almost surely, 2^382024529040 is an apocalyptic number.

382024529040 is a gapful number since it is divisible by the number (30) 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 382024529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861784842240).

382024529040 is an abundant number, since it is smaller than the sum of its proper divisors (1341545155440).

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

382024529040 is a wasteful number, since it uses less digits than its factorization.

382024529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 382024529040 in words is "three hundred eighty-two billion, twenty-four million, five hundred twenty-nine thousand, forty".