15340240000000 has 352 divisors, whose sum is σ = 38513086953120. Its totient is φ = 6107136000000.

The previous prime is 15340239999949. The next prime is 15340240000031. The reversal of 15340240000000 is 4204351.

It can be written as a sum of positive squares in 16 ways, for example, as 2090407038976 + 13249832961024 = 1445824^2 + 3640032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26959999716 + ... + 26960000284.

Almost surely, 2^{15340240000000} is an apocalyptic number.

15340240000000 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 15340240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256543476560).

15340240000000 is an abundant number, since it is smaller than the sum of its proper divisors (23172846953120).

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

15340240000000 is an frugal number, since it uses more digits than its factorization.

15340240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 15340240000000 its reverse (4204351), we get a palindrome (15340244204351).

The spelling of 15340240000000 in words is "fifteen trillion, three hundred forty billion, two hundred forty million", and thus it is an aban number.