12711493440 has 168 divisors, whose sum is σ = 45230201640. Its totient is φ = 3272822784.

The previous prime is 12711493433. The next prime is 12711493451. The reversal of 12711493440 is 4439411721.

12711493440 is a `hidden beast` number, since 1 + 2 + 71 + 149 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2287900224 + 10423593216 = 47832^2 + 102096^2 .

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 = 12711493395 and 12711493404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7422 + ... + 159618.

Almost surely, 2^12711493440 is an apocalyptic number.

12711493440 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 12711493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22615100820).

12711493440 is an abundant number, since it is smaller than the sum of its proper divisors (32518708200).

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

12711493440 is a wasteful number, since it uses less digits than its factorization.

12711493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152249 (or 152236 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12711493440 in words is "twelve billion, seven hundred eleven million, four hundred ninety-three thousand, four hundred forty".