10444023442440 has 576 divisors, whose sum is σ = 40100303795760. Its totient is φ = 2350115389440.

The previous prime is 10444023442381. The next prime is 10444023442469. The reversal of 10444023442440 is 4424432044401.

It is a happy number.

10444023442440 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 402 + 3 + 4 + 4 + 244 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4667855312484 + 5776168129956 = 2160522^2 + 2403366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10444023442395 and 10444023442404.

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, 717252760 + ... + 717267320.

Almost surely, 2^{10444023442440} is an apocalyptic number.

10444023442440 is a gapful number since it is divisible by the number (10) 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 10444023442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050151897880).

10444023442440 is an abundant number, since it is smaller than the sum of its proper divisors (29656280353320).

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

10444023442440 is a wasteful number, since it uses less digits than its factorization.

10444023442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 10444023442440 its reverse (4424432044401), we get a palindrome (14868455486841).

The spelling of 10444023442440 in words is "ten trillion, four hundred forty-four billion, twenty-three million, four hundred forty-two thousand, four hundred forty".