13004431440000 has 5760 divisors, whose sum is σ = 64256834980800. Its totient is φ = 2299207680000.

The previous prime is 13004431439933. The next prime is 13004431440061. The reversal of 13004431440000 is 4413440031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 351471119982 + ... + 351471120018.

Almost surely, 2^{13004431440000} is an apocalyptic number.

13004431440000 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 13004431440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128417490400).

13004431440000 is an abundant number, since it is smaller than the sum of its proper divisors (51252403540800).

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

13004431440000 is a wasteful number, since it uses less digits than its factorization.

13004431440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

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

Adding to 13004431440000 its reverse (4413440031), we get a palindrome (13008844880031).

It can be divided in two parts, 13004431 and 440000, that added together give a palindrome (13444431).

The spelling of 13004431440000 in words is "thirteen trillion, four billion, four hundred thirty-one million, four hundred forty thousand".