12755413440 has 1260 divisors, whose sum is σ = 58714602408. Its totient is φ = 2618542080.

The previous prime is 12755413427. The next prime is 12755413483. The reversal of 12755413440 is 4431455721.

12755413440 is a `hidden beast` number, since 1 + 2 + 75 + 541 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a junction number, because it is equal to n+sod(n) for n = 12755413395 and 12755413404.

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 179 ways as a sum of consecutive naturals, for example, 153679639 + ... + 153679721.

Almost surely, 2^12755413440 is an apocalyptic number.

12755413440 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 12755413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357301204).

12755413440 is an abundant number, since it is smaller than the sum of its proper divisors (45959188968).

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

12755413440 is a wasteful number, since it uses less digits than its factorization.

12755413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12755413440 in words is "twelve billion, seven hundred fifty-five million, four hundred thirteen thousand, four hundred forty".