1530349801344 has 1536 divisors, whose sum is σ = 5892195778560. Its totient is φ = 384564879360.

The previous prime is 1530349801301. The next prime is 1530349801363. The reversal of 1530349801344 is 4431089430351.

1530349801344 is a `hidden beast` number, since 1 + 530 + 3 + 4 + 9 + 80 + 1 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1530349801344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9388649007 + ... + 9388649169.

It is an arithmetic number, because the mean of its divisors is an integer number (3836064960).

Almost surely, 2^{1530349801344} is an apocalyptic number.

1530349801344 is a gapful number since it is divisible by the number (14) 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 1530349801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946097889280).

1530349801344 is an abundant number, since it is smaller than the sum of its proper divisors (4361845977216).

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

1530349801344 is a wasteful number, since it uses less digits than its factorization.

1530349801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1530349801344 in words is "one trillion, five hundred thirty billion, three hundred forty-nine million, eight hundred one thousand, three hundred forty-four".