4082507520 has 432 divisors, whose sum is σ = 16343742240. Its totient is φ = 860848128.

The previous prime is 4082507501. The next prime is 4082507543. The reversal of 4082507520 is 257052804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445246 + ... + 2446914.

Almost surely, 2^4082507520 is an apocalyptic number.

4082507520 is a gapful number since it is divisible by the number (40) 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 4082507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171871120).

4082507520 is an abundant number, since it is smaller than the sum of its proper divisors (12261234720).

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

4082507520 is a wasteful number, since it uses less digits than its factorization.

4082507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 4082507520 is about 63894.5030499495. The cubic root of 4082507520 is about 1598.2412340891.

The spelling of 4082507520 in words is "four billion, eighty-two million, five hundred seven thousand, five hundred twenty".