1005344325440 has 224 divisors, whose sum is σ = 2965957983744. Its totient is φ = 316066406400.

The previous prime is 1005344325383. The next prime is 1005344325493. The reversal of 1005344325440 is 445234435001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1005344325440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4282802 + ... + 4511438.

It is an arithmetic number, because the mean of its divisors is an integer number (13240883856).

Almost surely, 2^{1005344325440} is an apocalyptic number.

1005344325440 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 1005344325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482978991872).

1005344325440 is an abundant number, since it is smaller than the sum of its proper divisors (1960613658304).

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

1005344325440 is a wasteful number, since it uses less digits than its factorization.

1005344325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228825 (or 228815 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 1005344325440 in words is "one trillion, five billion, three hundred forty-four million, three hundred twenty-five thousand, four hundred forty".