1004300444400 has 240 divisors, whose sum is σ = 3510481767168. Its totient is φ = 243403776000.

The previous prime is 1004300444383. The next prime is 1004300444443. The reversal of 1004300444400 is 44440034001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69701997 + ... + 69716403.

Almost surely, 2^{1004300444400} is an apocalyptic number.

1004300444400 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 1004300444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755240883584).

1004300444400 is an abundant number, since it is smaller than the sum of its proper divisors (2506181322768).

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

1004300444400 is a wasteful number, since it uses less digits than its factorization.

1004300444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19720 (or 19709 counting only the distinct ones).

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

Adding to 1004300444400 its reverse (44440034001), we get a palindrome (1048740478401).

The spelling of 1004300444400 in words is "one trillion, four billion, three hundred million, four hundred forty-four thousand, four hundred".