13659249259440 has 640 divisors, whose sum is σ = 50639806464000. Its totient is φ = 3373916322816.

The previous prime is 13659249259399. The next prime is 13659249259507. The reversal of 13659249259440 is 4495294295631.

13659249259440 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 92 + 492 + 59 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×13659249259440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333922029 + ... + 333962931.

It is an arithmetic number, because the mean of its divisors is an integer number (79124697600).

Almost surely, 2^{13659249259440} is an apocalyptic number.

13659249259440 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 13659249259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25319903232000).

13659249259440 is an abundant number, since it is smaller than the sum of its proper divisors (36980557204560).

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

13659249259440 is a wasteful number, since it uses less digits than its factorization.

13659249259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41126 (or 41114 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 13659249259440 in words is "thirteen trillion, six hundred fifty-nine billion, two hundred forty-nine million, two hundred fifty-nine thousand, four hundred forty".