10038434316012 has 144 divisors (see below), whose sum is σ = 27897062723712. Its totient is φ = 3145425281280.

The previous prime is 10038434315957. The next prime is 10038434316037. The reversal of 10038434316012 is 21061343483001.

10038434316012 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 4 + 3 + 43 + 1 + 601 + 2 = 666.

10038434316012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13026423 + ... + 13775505.

It is an arithmetic number, because the mean of its divisors is an integer number (193729602248).

Almost surely, 2^{10038434316012} is an apocalyptic number.

10038434316012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10038434316012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948531361856).

10038434316012 is an abundant number, since it is smaller than the sum of its proper divisors (17858628407700).

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

10038434316012 is a wasteful number, since it uses less digits than its factorization.

10038434316012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749930 (or 749916 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10038434316012 its reverse (21061343483001), we get a palindrome (31099777799013).

The spelling of 10038434316012 in words is "ten trillion, thirty-eight billion, four hundred thirty-four million, three hundred sixteen thousand, twelve".