13044134400 has 240 divisors, whose sum is σ = 47009321568. Its totient is φ = 3162112000.

The previous prime is 13044134393. The next prime is 13044134419. The reversal of 13044134400 is 443144031.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406960 + ... + 437840.

Almost surely, 2^13044134400 is an apocalyptic number.

13044134400 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 13044134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504660784).

13044134400 is an abundant number, since it is smaller than the sum of its proper divisors (33965187168).

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

13044134400 is a wasteful number, since it uses less digits than its factorization.

13044134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30923 (or 30902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13044134400 its reverse (443144031), we get a palindrome (13487278431).

The spelling of 13044134400 in words is "thirteen billion, forty-four million, one hundred thirty-four thousand, four hundred".