13195405440 has 1536 divisors, whose sum is σ = 61590896640. Its totient is φ = 2627665920.

The previous prime is 13195405439. The next prime is 13195405453. The reversal of 13195405440 is 4450459131.

It is a happy number.

13195405440 is a `hidden beast` number, since 13 + 19 + 540 + 54 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13195405395 and 13195405404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425658225 + ... + 425658255.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^13195405440 is an apocalyptic number.

13195405440 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 13195405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30795448320).

13195405440 is an abundant number, since it is smaller than the sum of its proper divisors (48395491200).

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

13195405440 is a wasteful number, since it uses less digits than its factorization.

13195405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13195405440 in words is "thirteen billion, one hundred ninety-five million, four hundred five thousand, four hundred forty".