4002706072004 has 6 divisors (see below), whose sum is σ = 7004735626014. Its totient is φ = 2001353036000.

The previous prime is 4002706071983. The next prime is 4002706072021.

4002706072004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2023085211904 + 1979620860100 = 1422352^2 + 1406990^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500338258997 + ... + 500338259004.

It is an arithmetic number, because the mean of its divisors is an integer number (1167455937669).

Almost surely, 2^{4002706072004} is an apocalyptic number.

It is an amenable number.

4002706072004 is a deficient number, since it is larger than the sum of its proper divisors (3002029554010).

4002706072004 is a wasteful number, since it uses less digits than its factorization.

4002706072004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000676518005 (or 1000676518003 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 4002706072004 in words is "four trillion, two billion, seven hundred six million, seventy-two thousand, four".