10210142441344 has 64 divisors (see below), whose sum is σ = 20901234882960. Its totient is φ = 4964487266304.

The previous prime is 10210142441333. The next prime is 10210142441393. The reversal of 10210142441344 is 44314424101201.

10210142441344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8466304 + ... + 9596800.

Almost surely, 2^{10210142441344} 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 10210142441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450617441480).

10210142441344 is an abundant number, since it is smaller than the sum of its proper divisors (10691092441616).

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

10210142441344 is a wasteful number, since it uses less digits than its factorization.

10210142441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132455 (or 1132443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 10210142441344 its reverse (44314424101201), we get a palindrome (54524566542545).

The spelling of 10210142441344 in words is "ten trillion, two hundred ten billion, one hundred forty-two million, four hundred forty-one thousand, three hundred forty-four".