13411244400 has 120 divisors (see below), whose sum is σ = 43165106304. Its totient is φ = 3559315200.

The previous prime is 13411244389. The next prime is 13411244401. The reversal of 13411244400 is 444211431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13411244400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411244401) 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, 226717 + ... + 279683.

Almost surely, 2^13411244400 is an apocalyptic number.

13411244400 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 13411244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582553152).

13411244400 is an abundant number, since it is smaller than the sum of its proper divisors (29753861904).

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

13411244400 is a wasteful number, since it uses less digits than its factorization.

13411244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53199 (or 53188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13411244400 its reverse (444211431), we get a palindrome (13855455831).

The spelling of 13411244400 in words is "thirteen billion, four hundred eleven million, two hundred forty-four thousand, four hundred".