15340234144000 has 288 divisors, whose sum is σ = 38788672995072. Its totient is φ = 6044579840000.

The previous prime is 15340234143893. The next prime is 15340234144009. The reversal of 15340234144000 is 44143204351.

It is not an unprimeable number, because it can be changed into a prime (15340234144009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 574290645 + ... + 574317355.

It is an arithmetic number, because the mean of its divisors is an integer number (134682892344).

Almost surely, 2^{15340234144000} is an apocalyptic number.

15340234144000 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 15340234144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394336497536).

15340234144000 is an abundant number, since it is smaller than the sum of its proper divisors (23448438851072).

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

15340234144000 is a wasteful number, since it uses less digits than its factorization.

15340234144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27010 (or 26986 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 15340234144000 its reverse (44143204351), we get a palindrome (15384377348351).

The spelling of 15340234144000 in words is "fifteen trillion, three hundred forty billion, two hundred thirty-four million, one hundred forty-four thousand".