13411944000 has 1344 divisors, whose sum is σ = 62307947520. Its totient is φ = 2676326400.

The previous prime is 13411943969. The next prime is 13411944037. The reversal of 13411944000 is 44911431.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150695956 + ... + 150696044.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080).

Almost surely, 2^13411944000 is an apocalyptic number.

13411944000 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 13411944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31153973760).

13411944000 is an abundant number, since it is smaller than the sum of its proper divisors (48896003520).

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

13411944000 is a wasteful number, since it uses less digits than its factorization.

13411944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13411944000 in words is "thirteen billion, four hundred eleven million, nine hundred forty-four thousand".