4082501836800 has 504 divisors, whose sum is σ = 14650084243080. Its totient is φ = 1086691737600.

The previous prime is 4082501836753. The next prime is 4082501836801. The reversal of 4082501836800 is 86381052804.

4082501836800 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 501 + 83 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082501836801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1214667120 + ... + 1214670480.

Almost surely, 2^{4082501836800} is an apocalyptic number.

4082501836800 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 4082501836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325042121540).

4082501836800 is an abundant number, since it is smaller than the sum of its proper divisors (10567582406280).

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

4082501836800 is a wasteful number, since it uses less digits than its factorization.

4082501836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4082501836800 in words is "four trillion, eighty-two billion, five hundred one million, eight hundred thirty-six thousand, eight hundred".