10444012323030 has 288 divisors, whose sum is σ = 32152392155520. Its totient is φ = 2336467161600.

The previous prime is 10444012322899. The next prime is 10444012323119. The reversal of 10444012323030 is 3032321044401.

10444012323030 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 401 + 23 + 230 + 3 + 0 = 666.

It is a super-3 number, since 3×10444012323030³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444012322985 and 10444012323003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649939836 + ... + 649955904.

It is an arithmetic number, because the mean of its divisors is an integer number (111640250540).

Almost surely, 2^{10444012323030} is an apocalyptic number.

10444012323030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444012323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076196077760).

10444012323030 is an abundant number, since it is smaller than the sum of its proper divisors (21708379832490).

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

10444012323030 is a wasteful number, since it uses less digits than its factorization.

10444012323030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20708 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10444012323030 its reverse (3032321044401), we get a palindrome (13476333367431).

The spelling of 10444012323030 in words is "ten trillion, four hundred forty-four billion, twelve million, three hundred twenty-three thousand, thirty".