13640210304 has 256 divisors, whose sum is σ = 45262540800. Its totient is φ = 3549265920.

The previous prime is 13640210293. The next prime is 13640210317. The reversal of 13640210304 is 40301204631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1411762 + ... + 1421390.

It is an arithmetic number, because the mean of its divisors is an integer number (176806800).

Almost surely, 2^13640210304 is an apocalyptic number.

13640210304 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 13640210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631270400).

13640210304 is an abundant number, since it is smaller than the sum of its proper divisors (31622330496).

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

13640210304 is a wasteful number, since it uses less digits than its factorization.

13640210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13640210304 its reverse (40301204631), we get a palindrome (53941414935).

The spelling of 13640210304 in words is "thirteen billion, six hundred forty million, two hundred ten thousand, three hundred four".