13042400 has 144 divisors (see below), whose sum is σ = 38810016. Its totient is φ = 4177920.

The previous prime is 13042339. The next prime is 13042409. The reversal of 13042400 is 424031.

13042400 = 238² + 239² + ... + 374².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95132 + ... + 95268.

It is an arithmetic number, because the mean of its divisors is an integer number (269514).

Almost surely, 2^13042400 is an apocalyptic number.

13042400 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 13042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405008).

13042400 is an abundant number, since it is smaller than the sum of its proper divisors (25767616).

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

13042400 is a wasteful number, since it uses less digits than its factorization.

13042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13042400 is about 3611.4263110300. The cubic root of 13042400 is about 235.3888236404.

Adding to 13042400 its reverse (424031), we get a palindrome (13466431).

The spelling of 13042400 in words is "thirteen million, forty-two thousand, four hundred".