13440432096 has 432 divisors, whose sum is σ = 47883902976. Its totient is φ = 3501149184.

The previous prime is 13440432091. The next prime is 13440432121. The reversal of 13440432096 is 69023404431.

It is a happy number.

13440432096 is a `hidden beast` number, since 1 + 3 + 440 + 4 + 3 + 209 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13440432096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440432091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35092321 + ... + 35092703.

It is an arithmetic number, because the mean of its divisors is an integer number (110842368).

Almost surely, 2^13440432096 is an apocalyptic number.

13440432096 is a gapful number since it is divisible by the number (16) 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 13440432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941951488).

13440432096 is an abundant number, since it is smaller than the sum of its proper divisors (34443470880).

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

13440432096 is a wasteful number, since it uses less digits than its factorization.

13440432096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13440432096 in words is "thirteen billion, four hundred forty million, four hundred thirty-two thousand, ninety-six".