382103850240 has 1296 divisors, whose sum is σ = 1690298064000. Its totient is φ = 79092744192.

The previous prime is 382103850209. The next prime is 382103850253. The reversal of 382103850240 is 42058301283.

382103850240 is a `hidden beast` number, since 3 + 8 + 2 + 103 + 8 + 502 + 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 = 382103850195 and 382103850204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246676986 + ... + 246678534.

Almost surely, 2^382103850240 is an apocalyptic number.

382103850240 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 382103850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845149032000).

382103850240 is an abundant number, since it is smaller than the sum of its proper divisors (1308194213760).

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

382103850240 is a wasteful number, since it uses less digits than its factorization.

382103850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 382103850240 in words is "three hundred eighty-two billion, one hundred three million, eight hundred fifty thousand, two hundred forty".