13040400 has 60 divisors (see below), whose sum is σ = 41776592. Its totient is φ = 3477120.

The previous prime is 13040381. The next prime is 13040449. The reversal of 13040400 is 404031.

13040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4234 + ... + 6633.

Almost surely, 2^13040400 is an apocalyptic number.

13040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040400 is an abundant number, since it is smaller than the sum of its proper divisors (28736192).

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

13040400 is a wasteful number, since it uses less digits than its factorization.

13040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13040400 is about 3611.1494015064. The cubic root of 13040400 is about 235.3767910464.

Adding to 13040400 its reverse (404031), we get a palindrome (13444431).

The spelling of 13040400 in words is "thirteen million, forty thousand, four hundred".