1530041344000 has 448 divisors, whose sum is σ = 4355055929952. Its totient is φ = 531628032000.

The previous prime is 1530041343977. The next prime is 1530041344019. The reversal of 1530041344000 is 4431400351.

It can be written as a sum of positive squares in 16 ways, for example, as 15527153664 + 1514514190336 = 124608^2 + 1230656^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 226300620 + ... + 226307380.

Almost surely, 2^{1530041344000} is an apocalyptic number.

1530041344000 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 1530041344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177527964976).

1530041344000 is an abundant number, since it is smaller than the sum of its proper divisors (2825014585952).

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

1530041344000 is an equidigital number, since it uses as much as digits as its factorization.

1530041344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1530041344000 its reverse (4431400351), we get a palindrome (1534472744351).

The spelling of 1530041344000 in words is "one trillion, five hundred thirty billion, forty-one million, three hundred forty-four thousand".