34133241444 has 144 divisors (see below), whose sum is σ = 88185464640. Its totient is φ = 10231162880.

The previous prime is 34133241431. The next prime is 34133241491. The reversal of 34133241444 is 44414233143.

It is a nude number because it is divisible by every one of its digits.

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, 129784057 + ... + 129784319.

It is an arithmetic number, because the mean of its divisors is an integer number (612399060).

Almost surely, 2^34133241444 is an apocalyptic number.

34133241444 is a gapful number since it is divisible by the number (34) 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 34133241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44092732320).

34133241444 is an abundant number, since it is smaller than the sum of its proper divisors (54052223196).

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

34133241444 is a wasteful number, since it uses less digits than its factorization.

34133241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 385 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 34133241444 its reverse (44414233143), we get a palindrome (78547474587).

The spelling of 34133241444 in words is "thirty-four billion, one hundred thirty-three million, two hundred forty-one thousand, four hundred forty-four".