10000344440 has 64 divisors (see below), whose sum is σ = 23135656320. Its totient is φ = 3888000000.

The previous prime is 10000344437. The next prime is 10000344443. The reversal of 10000344440 is 4444300001.

It is an interprime number because it is at equal distance from previous prime (10000344437) and next prime (10000344443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000344443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433190 + ... + 455690.

It is an arithmetic number, because the mean of its divisors is an integer number (361494630).

Almost surely, 2^10000344440 is an apocalyptic number.

10000344440 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 10000344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567828160).

10000344440 is an abundant number, since it is smaller than the sum of its proper divisors (13135311880).

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

10000344440 is a wasteful number, since it uses less digits than its factorization.

10000344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22824 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10000344440 its reverse (4444300001), we get a palindrome (14444644441).

The spelling of 10000344440 in words is "ten billion, three hundred forty-four thousand, four hundred forty".