10444003400 has 96 divisors (see below), whose sum is σ = 24898674240. Its totient is φ = 4071970560.

The previous prime is 10444003387. The next prime is 10444003487. The reversal of 10444003400 is 430044401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563262 + ... + 5565138.

It is an arithmetic number, because the mean of its divisors is an integer number (259361190).

Almost surely, 2^10444003400 is an apocalyptic number.

10444003400 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 10444003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449337120).

10444003400 is an abundant number, since it is smaller than the sum of its proper divisors (14454670840).

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

10444003400 is a wasteful number, since it uses less digits than its factorization.

10444003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2574 counting only the distinct ones).

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

Adding to 10444003400 its reverse (430044401), we get a palindrome (10874047801).

The spelling of 10444003400 in words is "ten billion, four hundred forty-four million, three thousand, four hundred".