10023434013444 has 144 divisors (see below), whose sum is σ = 24368533303296. Its totient is φ = 3206499004800.

The previous prime is 10023434013427. The next prime is 10023434013503. The reversal of 10023434013444 is 44431043432001.

It is a super-2 number, since 2×10023434013444² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939891749 + ... + 1939896915.

Almost surely, 2^{10023434013444} 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 10023434013444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184266651648).

10023434013444 is an abundant number, since it is smaller than the sum of its proper divisors (14345099289852).

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

10023434013444 is a wasteful number, since it uses less digits than its factorization.

10023434013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10023434013444 its reverse (44431043432001), we get a palindrome (54454477445445).

The spelling of 10023434013444 in words is "ten trillion, twenty-three billion, four hundred thirty-four million, thirteen thousand, four hundred forty-four".