13674010240 has 128 divisors (see below), whose sum is σ = 36016151040. Its totient is φ = 4922880000.

The previous prime is 13674010237. The next prime is 13674010241. The reversal of 13674010240 is 4201047631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13674010199 and 13674010208.

It is not an unprimeable number, because it can be changed into a prime (13674010241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701425 + ... + 720655.

It is an arithmetic number, because the mean of its divisors is an integer number (281376180).

Almost surely, 2^13674010240 is an apocalyptic number.

13674010240 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 13674010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008075520).

13674010240 is an abundant number, since it is smaller than the sum of its proper divisors (22342140800).

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

13674010240 is a wasteful number, since it uses less digits than its factorization.

13674010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19362 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 13674010240 its reverse (4201047631), we get a palindrome (17875057871).

The spelling of 13674010240 in words is "thirteen billion, six hundred seventy-four million, ten thousand, two hundred forty".