13541440304 has 80 divisors (see below), whose sum is σ = 31827873600. Its totient is φ = 5448425472.

The previous prime is 13541440291. The next prime is 13541440307. The reversal of 13541440304 is 40304414531.

It is a happy number.

13541440304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13541440304² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13541440307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770042 + ... + 787430.

It is an arithmetic number, because the mean of its divisors is an integer number (397848420).

Almost surely, 2^13541440304 is an apocalyptic number.

13541440304 is a gapful number since it is divisible by the number (14) 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 13541440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913936800).

13541440304 is an abundant number, since it is smaller than the sum of its proper divisors (18286433296).

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

13541440304 is a wasteful number, since it uses less digits than its factorization.

13541440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17830 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 13541440304 its reverse (40304414531), we get a palindrome (53845854835).

The spelling of 13541440304 in words is "thirteen billion, five hundred forty-one million, four hundred forty thousand, three hundred four".