13444461300 has 144 divisors (see below), whose sum is σ = 40473853952. Its totient is φ = 3441916800.

The previous prime is 13444461259. The next prime is 13444461311. The reversal of 13444461300 is 316444431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175409 + ... + 1186791.

Almost surely, 2^13444461300 is an apocalyptic number.

13444461300 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 13444461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236926976).

13444461300 is an abundant number, since it is smaller than the sum of its proper divisors (27029392652).

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

13444461300 is a wasteful number, since it uses less digits than its factorization.

13444461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

It can be divided in two parts, 1344 and 4461300, that added together give a palindrome (4462644).

The spelling of 13444461300 in words is "thirteen billion, four hundred forty-four million, four hundred sixty-one thousand, three hundred".