13444230000400 has 120 divisors (see below), whose sum is σ = 32506817928264. Its totient is φ = 5343286886400.

The previous prime is 13444230000329. The next prime is 13444230000419. The reversal of 13444230000400 is 400003244431.

It can be written as a sum of positive squares in 12 ways, for example, as 10288903047424 + 3155326952976 = 3207632^2 + 1776324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 63275142 + ... + 63487258.

Almost surely, 2^{13444230000400} is an apocalyptic number.

13444230000400 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 13444230000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253408964132).

13444230000400 is an abundant number, since it is smaller than the sum of its proper divisors (19062587927864).

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

13444230000400 is a wasteful number, since it uses less digits than its factorization.

13444230000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213149 (or 213138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 13444230000400 its reverse (400003244431), we get a palindrome (13844233244831).

The spelling of 13444230000400 in words is "thirteen trillion, four hundred forty-four billion, two hundred thirty million, four hundred", and thus it is an aban number.