13604257040 has 80 divisors (see below), whose sum is σ = 34616284416. Its totient is φ = 4931097600.

The previous prime is 13604257003. The next prime is 13604257049. The reversal of 13604257040 is 4075240631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13604257040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13604256988 and 13604257006.

It is not an unprimeable number, because it can be changed into a prime (13604257049) 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, 250745 + ... + 300135.

Almost surely, 2^13604257040 is an apocalyptic number.

13604257040 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 13604257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308142208).

13604257040 is an abundant number, since it is smaller than the sum of its proper divisors (21012027376).

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

13604257040 is a wasteful number, since it uses less digits than its factorization.

13604257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49728 (or 49722 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 13604257040 its reverse (4075240631), we get a palindrome (17679497671).

The spelling of 13604257040 in words is "thirteen billion, six hundred four million, two hundred fifty-seven thousand, forty".