382049206035840 has 4032 divisors, whose sum is σ = 1705648787406720. Its totient is φ = 81467198668800.

The previous prime is 382049206035839. The next prime is 382049206035841. The reversal of 382049206035840 is 48530602940283.

382049206035840 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 4 + 9 + 20 + 603 + 5 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382049206035839) and next prime (382049206035841).

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382049206035841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 596020601920 + ... + 596020602560.

Almost surely, 2^{382049206035840} is an apocalyptic number.

382049206035840 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 382049206035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852824393703360).

382049206035840 is an abundant number, since it is smaller than the sum of its proper divisors (1323599581370880).

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

382049206035840 is an equidigital number, since it uses as much as digits as its factorization.

382049206035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 382049206035840 in words is "three hundred eighty-two trillion, forty-nine billion, two hundred six million, thirty-five thousand, eight hundred forty".