10211444443134 has 128 divisors (see below), whose sum is σ = 25282035394560. Its totient is φ = 3028777315200.

The previous prime is 10211444443099. The next prime is 10211444443153. The reversal of 10211444443134 is 43134444411201.

10211444443134 is a `hidden beast` number, since 1 + 0 + 211 + 4 + 4 + 4 + 4 + 431 + 3 + 4 = 666.

10211444443134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12868699 + ... + 13639145.

It is an arithmetic number, because the mean of its divisors is an integer number (197515901520).

Almost surely, 2^{10211444443134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211444443134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641017697280).

10211444443134 is an abundant number, since it is smaller than the sum of its proper divisors (15070590951426).

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

10211444443134 is a wasteful number, since it uses less digits than its factorization.

10211444443134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770943 (or 770937 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10211444443134 its reverse (43134444411201), we get a palindrome (53345888854335).

The spelling of 10211444443134 in words is "ten trillion, two hundred eleven billion, four hundred forty-four million, four hundred forty-three thousand, one hundred thirty-four".