4334405344140 has 192 divisors, whose sum is σ = 12874885632000. Its totient is φ = 1086463445760.

The previous prime is 4334405344133. The next prime is 4334405344153. The reversal of 4334405344140 is 414435044334.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290132791 + ... + 290147729.

It is an arithmetic number, because the mean of its divisors is an integer number (67056696000).

Almost surely, 2^{4334405344140} 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 4334405344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437442816000).

4334405344140 is an abundant number, since it is smaller than the sum of its proper divisors (8540480287860).

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

4334405344140 is a wasteful number, since it uses less digits than its factorization.

4334405344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940 (or 16938 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

The spelling of 4334405344140 in words is "four trillion, three hundred thirty-four billion, four hundred five million, three hundred forty-four thousand, one hundred forty".