4434138229248 has 640 divisors, whose sum is σ = 17104620234240. Its totient is φ = 1100646973440.

The previous prime is 4434138229237. The next prime is 4434138229253. The reversal of 4434138229248 is 8429228314344.

4434138229248 is a `hidden beast` number, since 4 + 4 + 341 + 3 + 8 + 2 + 292 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 4434138229194 and 4434138229203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21282058 + ... + 21489398.

It is an arithmetic number, because the mean of its divisors is an integer number (26725969116).

Almost surely, 2^{4434138229248} is an apocalyptic number.

4434138229248 is a gapful number since it is divisible by the number (48) 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 4434138229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552310117120).

4434138229248 is an abundant number, since it is smaller than the sum of its proper divisors (12670482004992).

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

4434138229248 is a wasteful number, since it uses less digits than its factorization.

4434138229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207405 (or 207383 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 4434138229248 in words is "four trillion, four hundred thirty-four billion, one hundred thirty-eight million, two hundred twenty-nine thousand, two hundred forty-eight".