13404040 has 64 divisors (see below), whose sum is σ = 32886000. Its totient is φ = 4887552.

The previous prime is 13404029. The next prime is 13404047. The reversal of 13404040 is 4040431.

It can be written as a sum of positive squares in 8 ways, for example, as 3556996 + 9847044 = 1886^2 + 3138^2 .

It is not an unprimeable number, because it can be changed into a prime (13404047) 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, 77394 + ... + 77566.

Almost surely, 2^13404040 is an apocalyptic number.

13404040 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 13404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443000).

13404040 is an abundant number, since it is smaller than the sum of its proper divisors (19481960).

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

13404040 is a wasteful number, since it uses less digits than its factorization.

13404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13404040 is about 3661.1528239067. The cubic root of 13404040 is about 237.5446416546.

Adding to 13404040 its reverse (4040431), we get a palindrome (17444471).

The spelling of 13404040 in words is "thirteen million, four hundred four thousand, forty".