382204968420240 has 800 divisors, whose sum is σ = 1552745740102656. Its totient is φ = 85308939555840.

The previous prime is 382204968420239. The next prime is 382204968420257. The reversal of 382204968420240 is 42024869402283.

382204968420240 is a `hidden beast` number, since 3 + 8 + 2 + 204 + 9 + 6 + 8 + 420 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8978038155 + ... + 8978080725.

Almost surely, 2^{382204968420240} is an apocalyptic number.

382204968420240 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 382204968420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776372870051328).

382204968420240 is an abundant number, since it is smaller than the sum of its proper divisors (1170540771682416).

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

382204968420240 is a wasteful number, since it uses less digits than its factorization.

382204968420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47249 (or 47234 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 382204968420240 in words is "three hundred eighty-two trillion, two hundred four billion, nine hundred sixty-eight million, four hundred twenty thousand, two hundred forty".