4082526504 has 384 divisors, whose sum is σ = 14043744000. Its totient is φ = 1045094400.

The previous prime is 4082526457. The next prime is 4082526521. The reversal of 4082526504 is 4056252804.

It is a happy number.

4082526504 is a `hidden beast` number, since 4 + 0 + 82 + 526 + 50 + 4 = 666.

4082526504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16939824 + ... + 16940064.

It is an arithmetic number, because the mean of its divisors is an integer number (36572250).

Almost surely, 2^4082526504 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 4082526504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021872000).

4082526504 is an abundant number, since it is smaller than the sum of its proper divisors (9961217496).

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

4082526504 is a wasteful number, since it uses less digits than its factorization.

4082526504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4082526504 is about 63894.6516071572. The cubic root of 4082526504 is about 1598.2437114035.

The spelling of 4082526504 in words is "four billion, eighty-two million, five hundred twenty-six thousand, five hundred four".