13441400 has 48 divisors (see below), whose sum is σ = 35719440. Its totient is φ = 4608000.

The previous prime is 13441391. The next prime is 13441409. The reversal of 13441400 is 414431.

13441400 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13441391) and next prime (13441409).

13441400 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3401 + ... + 6200.

It is an arithmetic number, because the mean of its divisors is an integer number (744155).

Almost surely, 2^13441400 is an apocalyptic number.

13441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441400 is an abundant number, since it is smaller than the sum of its proper divisors (22278040).

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

13441400 is a wasteful number, since it uses less digits than its factorization.

13441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9624 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13441400 is about 3666.2514916465. The cubic root of 13441400 is about 237.7651332711.

Adding to 13441400 its reverse (414431), we get a palindrome (13855831).

It can be divided in two parts, 1344 and 1400, that added together give a cube (2744 = 14³).

The spelling of 13441400 in words is "thirteen million, four hundred forty-one thousand, four hundred".