13228909440 has 128 divisors (see below), whose sum is σ = 42240337920. Its totient is φ = 3521587200.

The previous prime is 13228909417. The next prime is 13228909453. The reversal of 13228909440 is 4490982231.

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

It is a super-2 number, since 2×13228909440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13228909392 and 13228909401.

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, 1159765 + ... + 1171115.

It is an arithmetic number, because the mean of its divisors is an integer number (330002640).

Almost surely, 2^13228909440 is an apocalyptic number.

13228909440 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 13228909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120168960).

13228909440 is an abundant number, since it is smaller than the sum of its proper divisors (29011428480).

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

13228909440 is a wasteful number, since it uses less digits than its factorization.

13228909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 13228909440 in words is "thirteen billion, two hundred twenty-eight million, nine hundred nine thousand, four hundred forty".