4133004304140 has 144 divisors (see below), whose sum is σ = 12811012800768. Its totient is φ = 1078283935872.

The previous prime is 4133004304129. The next prime is 4133004304151. The reversal of 4133004304140 is 414034003314.

4133004304140 is a `hidden beast` number, since 4 + 13 + 300 + 4 + 304 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4133004304129) and next prime (4133004304151).

It is a super-2 number, since 2×4133004304140² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195907 + ... + 2881733.

It is an arithmetic number, because the mean of its divisors is an integer number (88965366672).

Almost surely, 2^{4133004304140} 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 4133004304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405506400384).

4133004304140 is an abundant number, since it is smaller than the sum of its proper divisors (8678008496628).

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

4133004304140 is a wasteful number, since it uses less digits than its factorization.

4133004304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686028 (or 2686023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4133004304140 its reverse (414034003314), we get a palindrome (4547038307454).

The spelling of 4133004304140 in words is "four trillion, one hundred thirty-three billion, four million, three hundred four thousand, one hundred forty".