4083972048 has 200 divisors, whose sum is σ = 12798291968. Its totient is φ = 1249820928.

The previous prime is 4083972019. The next prime is 4083972059. The reversal of 4083972048 is 8402793804.

4083972048 is a `hidden beast` number, since 408 + 39 + 7 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4083971994 and 4083972012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3756561 + ... + 3757647.

Almost surely, 2^4083972048 is an apocalyptic number.

4083972048 is a gapful number since it is divisible by the number (48) 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 4083972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399145984).

4083972048 is an abundant number, since it is smaller than the sum of its proper divisors (8714319920).

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

4083972048 is a wasteful number, since it uses less digits than its factorization.

4083972048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4083972048 is about 63905.9625387178. The cubic root of 4083972048 is about 1598.4323249151.

The spelling of 4083972048 in words is "four billion, eighty-three million, nine hundred seventy-two thousand, forty-eight".