4004133401124 has 144 divisors (see below), whose sum is σ = 10830945652800. Its totient is φ = 1244835019008.

The previous prime is 4004133401117. The next prime is 4004133401129. The reversal of 4004133401124 is 4211043314004.

4004133401124 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 133 + 401 + 124 = 666.

It is not an unprimeable number, because it can be changed into a prime (4004133401129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996419 + ... + 5742165.

Almost surely, 2^{4004133401124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004133401124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415472826400).

4004133401124 is an abundant number, since it is smaller than the sum of its proper divisors (6826812251676).

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

4004133401124 is a wasteful number, since it uses less digits than its factorization.

4004133401124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745962 (or 745957 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4004133401124 its reverse (4211043314004), we get a palindrome (8215176715128).

The spelling of 4004133401124 in words is "four trillion, four billion, one hundred thirty-three million, four hundred one thousand, one hundred twenty-four".