13805230440960 has 1920 divisors, whose sum is σ = 62327259371520. Its totient is φ = 2747678588928.

The previous prime is 13805230440949. The next prime is 13805230440961. The reversal of 13805230440960 is 6904403250831.

13805230440960 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 5 + 230 + 4 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13805230440961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2240014839 + ... + 2240021001.

It is an arithmetic number, because the mean of its divisors is an integer number (32462114256).

Almost surely, 2^{13805230440960} is an apocalyptic number.

13805230440960 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 13805230440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31163629685760).

13805230440960 is an abundant number, since it is smaller than the sum of its proper divisors (48522028930560).

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

13805230440960 is a wasteful number, since it uses less digits than its factorization.

13805230440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13805230440960 in words is "thirteen trillion, eight hundred five billion, two hundred thirty million, four hundred forty thousand, nine hundred sixty".