13406269440 has 416 divisors, whose sum is σ = 45859115520. Its totient is φ = 3336306688.

The previous prime is 13406269403. The next prime is 13406269469. The reversal of 13406269440 is 4496260431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74895271 + ... + 74895449.

Almost surely, 2^13406269440 is an apocalyptic number.

13406269440 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 13406269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929557760).

13406269440 is an abundant number, since it is smaller than the sum of its proper divisors (32452846080).

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

13406269440 is a wasteful number, since it uses less digits than its factorization.

13406269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13406269440 in words is "thirteen billion, four hundred six million, two hundred sixty-nine thousand, four hundred forty".