4139382408 has 192 divisors, whose sum is σ = 12883550400. Its totient is φ = 1101703680.

The previous prime is 4139382383. The next prime is 4139382433. The reversal of 4139382408 is 8042839314.

It is an interprime number because it is at equal distance from previous prime (4139382383) and next prime (4139382433).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4139382408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361466 + ... + 1364502.

It is an arithmetic number, because the mean of its divisors is an integer number (67101825).

Almost surely, 2^4139382408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4139382408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441775200).

4139382408 is an abundant number, since it is smaller than the sum of its proper divisors (8744167992).

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

4139382408 is a wasteful number, since it uses less digits than its factorization.

4139382408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4139382408 is about 64338.0323603388. The cubic root of 4139382408 is about 1605.6289248222.

The spelling of 4139382408 in words is "four billion, one hundred thirty-nine million, three hundred eighty-two thousand, four hundred eight".