13001442400 has 144 divisors (see below), whose sum is σ = 33376145040. Its totient is φ = 4938393600.

The previous prime is 13001442373. The next prime is 13001442407. The reversal of 13001442400 is 424410031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001442407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410607 + ... + 1419793.

It is an arithmetic number, because the mean of its divisors is an integer number (231778785).

Almost surely, 2^13001442400 is an apocalyptic number.

13001442400 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 13001442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688072520).

13001442400 is an abundant number, since it is smaller than the sum of its proper divisors (20374702640).

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

13001442400 is a wasteful number, since it uses less digits than its factorization.

13001442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13001442400 its reverse (424410031), we get a palindrome (13425852431).

The spelling of 13001442400 in words is "thirteen billion, one million, four hundred forty-two thousand, four hundred".