13501440000 has 420 divisors, whose sum is σ = 48902960106. Its totient is φ = 3588096000.

The previous prime is 13501439999. The next prime is 13501440023. The reversal of 13501440000 is 4410531.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1899565056 + 11601874944 = 43584^2 + 107712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079854 + ... + 46080146.

Almost surely, 2^13501440000 is an apocalyptic number.

13501440000 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 13501440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451480053).

13501440000 is an abundant number, since it is smaller than the sum of its proper divisors (35401520106).

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

13501440000 is an frugal number, since it uses more digits than its factorization.

13501440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13501440000 its reverse (4410531), we get a palindrome (13505850531).

The spelling of 13501440000 in words is "thirteen billion, five hundred one million, four hundred forty thousand".