4101133344 has 288 divisors, whose sum is σ = 13968396288. Its totient is φ = 1030233600.

The previous prime is 4101133331. The next prime is 4101133349. The reversal of 4101133344 is 4433311014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4101133349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519859 + ... + 2521485.

It is an arithmetic number, because the mean of its divisors is an integer number (48501376).

Almost surely, 2^4101133344 is an apocalyptic number.

4101133344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984198144).

4101133344 is an abundant number, since it is smaller than the sum of its proper divisors (9867262944).

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

4101133344 is a wasteful number, since it uses less digits than its factorization.

4101133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4101133344 is about 64040.0916926264. The cubic root of 4101133344 is about 1600.6681251333.

Adding to 4101133344 its reverse (4433311014), we get a palindrome (8534444358).

The spelling of 4101133344 in words is "four billion, one hundred one million, one hundred thirty-three thousand, three hundred forty-four".