4334325524144 has 160 divisors (see below), whose sum is σ = 10586629079040. Its totient is φ = 1669976352000.

The previous prime is 4334325524107. The next prime is 4334325524147. The reversal of 4334325524144 is 4414255234334.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4334325524095 and 4334325524104.

It is not an unprimeable number, because it can be changed into a prime (4334325524147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41432897 + ... + 41537375.

It is an arithmetic number, because the mean of its divisors is an integer number (66166431744).

Almost surely, 2^{4334325524144} is an apocalyptic number.

4334325524144 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 4334325524144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293314539520).

4334325524144 is an abundant number, since it is smaller than the sum of its proper divisors (6252303554896).

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

4334325524144 is a wasteful number, since it uses less digits than its factorization.

4334325524144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104879 (or 104873 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 44.

The spelling of 4334325524144 in words is "four trillion, three hundred thirty-four billion, three hundred twenty-five million, five hundred twenty-four thousand, one hundred forty-four".