13404213120 has 128 divisors (see below), whose sum is σ = 42807392640. Its totient is φ = 3567642624.

The previous prime is 13404213113. The next prime is 13404213149. The reversal of 13404213120 is 2131240431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043859 + ... + 1056621.

It is an arithmetic number, because the mean of its divisors is an integer number (334432755).

Almost surely, 2^13404213120 is an apocalyptic number.

13404213120 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 13404213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403696320).

13404213120 is an abundant number, since it is smaller than the sum of its proper divisors (29403179520).

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

13404213120 is a wasteful number, since it uses less digits than its factorization.

13404213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13404213120 its reverse (2131240431), we get a palindrome (15535453551).

The spelling of 13404213120 in words is "thirteen billion, four hundred four million, two hundred thirteen thousand, one hundred twenty".