13712410000 has 75 divisors (see below), whose sum is σ = 33227491143. Its totient is φ = 5480280000.

The previous prime is 13712409989. The next prime is 13712410003. The reversal of 13712410000 is 1421731.

The square root of 13712410000 is 117100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1075052944 + 12637357056 = 32788^2 + 112416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13712410000.

It is not an unprimeable number, because it can be changed into a prime (13712410003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11709415 + ... + 11710585.

Almost surely, 2^13712410000 is an apocalyptic number.

13712410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13712410000 is the 117100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13712410000

13712410000 is an abundant number, since it is smaller than the sum of its proper divisors (19515081143).

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

13712410000 is an frugal number, since it uses more digits than its factorization.

13712410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 13712410000 its reverse (1421731), we get a palindrome (13713831731).

The spelling of 13712410000 in words is "thirteen billion, seven hundred twelve million, four hundred ten thousand".