4082329944 has 432 divisors, whose sum is σ = 14439985560. Its totient is φ = 1037836800.

The previous prime is 4082329897. The next prime is 4082329957. The reversal of 4082329944 is 4499232804.

It is a happy number.

4082329944 is a `hidden beast` number, since 408 + 232 + 9 + 9 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4082329944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31162759 + ... + 31162889.

Almost surely, 2^4082329944 is an apocalyptic number.

4082329944 is a gapful number since it is divisible by the number (44) 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 4082329944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219992780).

4082329944 is an abundant number, since it is smaller than the sum of its proper divisors (10357655616).

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

4082329944 is a wasteful number, since it uses less digits than its factorization.

4082329944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4082329944 is about 63893.1134317307. The cubic root of 4082329944 is about 1598.2180609617.

The spelling of 4082329944 in words is "four billion, eighty-two million, three hundred twenty-nine thousand, nine hundred forty-four".