382135904640 has 768 divisors, whose sum is σ = 1582391116800. Its totient is φ = 83127582720.

The previous prime is 382135904617. The next prime is 382135904641. The reversal of 382135904640 is 46409531283.

382135904640 is a `hidden beast` number, since 3 + 8 + 2 + 13 + 590 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382135904641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83016579 + ... + 83021181.

It is an arithmetic number, because the mean of its divisors is an integer number (2060405100).

Almost surely, 2^382135904640 is an apocalyptic number.

382135904640 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 382135904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791195558400).

382135904640 is an abundant number, since it is smaller than the sum of its proper divisors (1200255212160).

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

382135904640 is a wasteful number, since it uses less digits than its factorization.

382135904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 382135904640 in words is "three hundred eighty-two billion, one hundred thirty-five million, nine hundred four thousand, six hundred forty".