1044003400440 has 1024 divisors, whose sum is σ = 4336723722240. Its totient is φ = 194032558080.

The previous prime is 1044003400409. The next prime is 1044003400441. The reversal of 1044003400440 is 440043004401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1044003400440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044003400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2075553229 + ... + 2075553731.

It is an arithmetic number, because the mean of its divisors is an integer number (4235081760).

Almost surely, 2^{1044003400440} is an apocalyptic number.

1044003400440 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 1044003400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168361861120).

1044003400440 is an abundant number, since it is smaller than the sum of its proper divisors (3292720321800).

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

1044003400440 is a wasteful number, since it uses less digits than its factorization.

1044003400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1044003400440 its reverse (440043004401), we get a palindrome (1484046404841).

The spelling of 1044003400440 in words is "one trillion, forty-four billion, three million, four hundred thousand, four hundred forty".