4009928976 has 75 divisors (see below), whose sum is σ = 11612499591. Its totient is φ = 1335883104.

The previous prime is 4009928953. The next prime is 4009928981. The reversal of 4009928976 is 6798299004.

The square root of 4009928976 is 63324.

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

4009928976 is a `hidden beast` number, since 400 + 9 + 92 + 89 + 76 = 666.

It is a super-3 number, since 3×4009928976³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2278785 + ... + 2280543.

Almost surely, 2^4009928976 is an apocalyptic number.

4009928976 is the 63324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009928976

4009928976 is an abundant number, since it is smaller than the sum of its proper divisors (7602570615).

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

4009928976 is an frugal number, since it uses more digits than its factorization.

4009928976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The cubic root of 4009928976 is about 1588.7134056181.

The spelling of 4009928976 in words is "four billion, nine million, nine hundred twenty-eight thousand, nine hundred seventy-six".