13400400000 has 384 divisors, whose sum is σ = 47968804800. Its totient is φ = 3294720000.

The previous prime is 13400399959. The next prime is 13400400017. The reversal of 13400400000 is 400431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15599571 + ... + 15600429.

Almost surely, 2^13400400000 is an apocalyptic number.

13400400000 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 13400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984402400).

13400400000 is an abundant number, since it is smaller than the sum of its proper divisors (34568404800).

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

13400400000 is an frugal number, since it uses more digits than its factorization.

13400400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 13400400000 its reverse (400431), we get a palindrome (13400800431).

The spelling of 13400400000 in words is "thirteen billion, four hundred million, four hundred thousand".