12732417540 has 144 divisors (see below), whose sum is σ = 40450213440. Its totient is φ = 3361564800.

The previous prime is 12732417539. The next prime is 12732417571. The reversal of 12732417540 is 4571423721.

12732417540 is a `hidden beast` number, since 1 + 2 + 73 + 2 + 41 + 7 + 540 = 666.

It is a super-2 number, since 2×12732417540² (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 junction number, because it is equal to n+sod(n) for n = 12732417495 and 12732417504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477891 + ... + 503829.

It is an arithmetic number, because the mean of its divisors is an integer number (280904260).

Almost surely, 2^12732417540 is an apocalyptic number.

12732417540 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 12732417540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225106720).

12732417540 is an abundant number, since it is smaller than the sum of its proper divisors (27717795900).

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

12732417540 is a wasteful number, since it uses less digits than its factorization.

12732417540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26064 (or 26050 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12732417540 in words is "twelve billion, seven hundred thirty-two million, four hundred seventeen thousand, five hundred forty".