1005344424000 has 672 divisors, whose sum is σ = 4179824812800. Its totient is φ = 225891532800.

The previous prime is 1005344423983. The next prime is 1005344424079. The reversal of 1005344424000 is 4244435001.

It is a happy number.

1005344424000 is a `hidden beast` number, since 100 + 534 + 4 + 4 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29719096 + ... + 29752904.

It is an arithmetic number, because the mean of its divisors is an integer number (6219977400).

Almost surely, 2^{1005344424000} is an apocalyptic number.

1005344424000 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 1005344424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089912406400).

1005344424000 is an abundant number, since it is smaller than the sum of its proper divisors (3174480388800).

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

1005344424000 is a wasteful number, since it uses less digits than its factorization.

1005344424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908 (or 33885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1005344424000 its reverse (4244435001), we get a palindrome (1009588859001).

The spelling of 1005344424000 in words is "one trillion, five billion, three hundred forty-four million, four hundred twenty-four thousand".