15330145041440 has 96 divisors (see below), whose sum is σ = 37837192055040. Its totient is φ = 5858454621184.

The previous prime is 15330145041439. The next prime is 15330145041457. The reversal of 15330145041440 is 4414054103351.

It is a self number, because there is not a number n which added to its sum of digits gives 15330145041440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604922 + ... + 5570118.

It is an arithmetic number, because the mean of its divisors is an integer number (394137417240).

Almost surely, 2^{15330145041440} is an apocalyptic number.

15330145041440 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 15330145041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918596027520).

15330145041440 is an abundant number, since it is smaller than the sum of its proper divisors (22507047013600).

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

15330145041440 is a wasteful number, since it uses less digits than its factorization.

15330145041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966074 (or 4966066 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 15330145041440 its reverse (4414054103351), we get a palindrome (19744199144791).

The spelling of 15330145041440 in words is "fifteen trillion, three hundred thirty billion, one hundred forty-five million, forty-one thousand, four hundred forty".