382506071040 has 1408 divisors, whose sum is σ = 1524257118720. Its totient is φ = 90540343296.

The previous prime is 382506070939. The next prime is 382506071041. The reversal of 382506071040 is 40170605283.

382506071040 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 0 + 607 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382506070986 and 382506071004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382506071041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4608506839 + ... + 4608506921.

Almost surely, 2^382506071040 is an apocalyptic number.

382506071040 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 382506071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762128559360).

382506071040 is an abundant number, since it is smaller than the sum of its proper divisors (1141751047680).

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

382506071040 is a wasteful number, since it uses less digits than its factorization.

382506071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 382506071040 in words is "three hundred eighty-two billion, five hundred six million, seventy-one thousand, forty".