12824241408 has 252 divisors, whose sum is σ = 41875820448. Its totient is φ = 3885511680.

The previous prime is 12824241383. The next prime is 12824241421. The reversal of 12824241408 is 80414242821.

It is a happy number.

12824241408 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 4 + 241 + 408 = 666.

It is a super-2 number, since 2×12824241408² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2049741 + ... + 2055987.

Almost surely, 2^12824241408 is an apocalyptic number.

12824241408 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 12824241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937910224).

12824241408 is an abundant number, since it is smaller than the sum of its proper divisors (29051579040).

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

12824241408 is an frugal number, since it uses more digits than its factorization.

12824241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 12824241408 in words is "twelve billion, eight hundred twenty-four million, two hundred forty-one thousand, four hundred eight".