13002444000 has 1344 divisors, whose sum is σ = 60155222400. Its totient is φ = 2743372800.

The previous prime is 13002443989. The next prime is 13002444001. The reversal of 13002444000 is 44420031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002444001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1000187994 + ... + 1000188006.

It is an arithmetic number, because the mean of its divisors is an integer number (44758350).

Almost surely, 2^13002444000 is an apocalyptic number.

13002444000 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 13002444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30077611200).

13002444000 is an abundant number, since it is smaller than the sum of its proper divisors (47152778400).

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

13002444000 is an frugal number, since it uses more digits than its factorization.

13002444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13002444000 its reverse (44420031), we get a palindrome (13046864031).

The spelling of 13002444000 in words is "thirteen billion, two million, four hundred forty-four thousand".