4133440314004 has 6 divisors (see below), whose sum is σ = 7233520549514. Its totient is φ = 2066720157000.

The previous prime is 4133440313963. The next prime is 4133440314037. The reversal of 4133440314004 is 4004130443314.

It is a happy number.

4133440314004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3561901290000 + 571539024004 = 1887300^2 + 756002^2 .

It is a super-2 number, since 2×4133440314004² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516680039247 + ... + 516680039254.

Almost surely, 2^{4133440314004} is an apocalyptic number.

It is an amenable number.

4133440314004 is a deficient number, since it is larger than the sum of its proper divisors (3100080235510).

4133440314004 is a wasteful number, since it uses less digits than its factorization.

4133440314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033360078505 (or 1033360078503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4133440314004 its reverse (4004130443314), we get a palindrome (8137570757318).

It can be divided in two parts, 4133440 and 314004, that added together give a palindrome (4447444).

The spelling of 4133440314004 in words is "four trillion, one hundred thirty-three billion, four hundred forty million, three hundred fourteen thousand, four".