4004436680411 has 16 divisors (see below), whose sum is σ = 4098123072000. Its totient is φ = 3912145066368.

The previous prime is 4004436680389. The next prime is 4004436680443. The reversal of 4004436680411 is 1140866344004.

It is not a de Polignac number, because 4004436680411 - 2²⁶ = 4004369571547 is a prime.

It is a super-2 number, since 2×4004436680411² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004436688411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573970 + ... + 3238248.

It is an arithmetic number, because the mean of its divisors is an integer number (256132692000).

Almost surely, 2^{4004436680411} is an apocalyptic number.

4004436680411 is a deficient number, since it is larger than the sum of its proper divisors (93686391589).

4004436680411 is a wasteful number, since it uses less digits than its factorization.

4004436680411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664698.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 4004436680411 in words is "four trillion, four billion, four hundred thirty-six million, six hundred eighty thousand, four hundred eleven".