4349772319104 has 192 divisors, whose sum is σ = 13372365240000. Its totient is φ = 1353110178816.

The previous prime is 4349772319051. The next prime is 4349772319127. The reversal of 4349772319104 is 4019132779434.

4349772319104 is a `hidden beast` number, since 43 + 497 + 7 + 2 + 3 + 1 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16554 + ... + 2949545.

It is an arithmetic number, because the mean of its divisors is an integer number (69647735625).

Almost surely, 2^{4349772319104} 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 4349772319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686182620000).

4349772319104 is an abundant number, since it is smaller than the sum of its proper divisors (9022592920896).

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

4349772319104 is a wasteful number, since it uses less digits than its factorization.

4349772319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966205 (or 2966190 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4349772319104 in words is "four trillion, three hundred forty-nine billion, seven hundred seventy-two million, three hundred nineteen thousand, one hundred four".