382108029791040 has 1680 divisors, whose sum is σ = 1607770710938304. Its totient is φ = 85875406848000.

The previous prime is 382108029791039. The next prime is 382108029791093. The reversal of 382108029791040 is 40197920801283.

382108029791040 is a `hidden beast` number, since 38 + 210 + 8 + 0 + 297 + 9 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 30688936815 + ... + 30688949265.

Almost surely, 2^{382108029791040} is an apocalyptic number.

382108029791040 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 382108029791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803885355469152).

382108029791040 is an abundant number, since it is smaller than the sum of its proper divisors (1225662681147264).

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

382108029791040 is a wasteful number, since it uses less digits than its factorization.

382108029791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 382108029791040 in words is "three hundred eighty-two trillion, one hundred eight billion, twenty-nine million, seven hundred ninety-one thousand, forty".