1005351440000 has 320 divisors, whose sum is σ = 2665922288040. Its totient is φ = 376209408000.

The previous prime is 1005351439997. The next prime is 1005351440033. The reversal of 1005351440000 is 441535001.

It can be written as a sum of positive squares in 20 ways, for example, as 157964912704 + 847386527296 = 397448^2 + 920536^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235277864 + ... + 235282136.

Almost surely, 2^{1005351440000} is an apocalyptic number.

1005351440000 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 1005351440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332961144020).

1005351440000 is an abundant number, since it is smaller than the sum of its proper divisors (1660570848040).

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

1005351440000 is an equidigital number, since it uses as much as digits as its factorization.

1005351440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 1005351440000 its reverse (441535001), we get a palindrome (1005792975001).

The spelling of 1005351440000 in words is "one trillion, five billion, three hundred fifty-one million, four hundred forty thousand".