13805241408 has 672 divisors, whose sum is σ = 50668001280. Its totient is φ = 3503554560.

The previous prime is 13805241397. The next prime is 13805241449. The reversal of 13805241408 is 80414250831.

13805241408 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 5 + 241 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155115028 + ... + 155115116.

Almost surely, 2^13805241408 is an apocalyptic number.

13805241408 is a gapful number since it is divisible by the number (18) 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 13805241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334000640).

13805241408 is an abundant number, since it is smaller than the sum of its proper divisors (36862759872).

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

13805241408 is a wasteful number, since it uses less digits than its factorization.

13805241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13805241408 in words is "thirteen billion, eight hundred five million, two hundred forty-one thousand, four hundred eight".