4009701875776 has 63 divisors (see below), whose sum is σ = 8147495853693. Its totient is φ = 1957890090240.

The previous prime is 4009701875747. The next prime is 4009701875783. The reversal of 4009701875776 is 6775781079004.

The square root of 4009701875776 is 2002424.

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

It can be written as a sum of positive squares in only one way, i.e., 3487840115776 + 521861760000 = 1867576^2 + 722400^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 688830946 + ... + 688836766.

It is an arithmetic number, because the mean of its divisors is an integer number (129325331011).

Almost surely, 2^{4009701875776} is an apocalyptic number.

4009701875776 is the 2002424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009701875776

4009701875776 is an abundant number, since it is smaller than the sum of its proper divisors (4137793977917).

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

4009701875776 is an frugal number, since it uses more digits than its factorization.

4009701875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 4009701875776 in words is "four trillion, nine billion, seven hundred one million, eight hundred seventy-five thousand, seven hundred seventy-six".