4082523984 has 480 divisors, whose sum is σ = 15114211200. Its totient is φ = 1043159040.

The previous prime is 4082523971. The next prime is 4082524031. The reversal of 4082523984 is 4893252804.

4082523984 is a `hidden beast` number, since 4 + 0 + 8 + 252 + 398 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20723374 + ... + 20723570.

It is an arithmetic number, because the mean of its divisors is an integer number (31487940).

Almost surely, 2^4082523984 is an apocalyptic number.

4082523984 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 4082523984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557105600).

4082523984 is an abundant number, since it is smaller than the sum of its proper divisors (11031687216).

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

4082523984 is a wasteful number, since it uses less digits than its factorization.

4082523984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4082523984 is about 63894.6318871938. The cubic root of 4082523984 is about 1598.2433825569.

The spelling of 4082523984 in words is "four billion, eighty-two million, five hundred twenty-three thousand, nine hundred eighty-four".