4083729638976 has 945 divisors, whose sum is σ = 14035211522739. Its totient is φ = 1173306580992.

The previous prime is 4083729638953. The next prime is 4083729639001. The reversal of 4083729638976 is 6798369273804.

The square root of 4083729638976 is 2020824.

It is a perfect power (a square), and thus also a powerful number.

4083729638976 is a `hidden beast` number, since 408 + 3 + 72 + 9 + 6 + 3 + 89 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36873216576 + 4046856422400 = 192024^2 + 2011680^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 32155351425 + ... + 32155351551.

Almost surely, 2^{4083729638976} is an apocalyptic number.

4083729638976 is the 2020824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083729638976

4083729638976 is an abundant number, since it is smaller than the sum of its proper divisors (9951481883763).

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

4083729638976 is a wasteful number, since it uses less digits than its factorization.

4083729638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 4083729638976 in words is "four trillion, eighty-three billion, seven hundred twenty-nine million, six hundred thirty-eight thousand, nine hundred seventy-six".