12729623040 has 560 divisors, whose sum is σ = 48303604800. Its totient is φ = 3206946816.

The previous prime is 12729622963. The next prime is 12729623047. The reversal of 12729623040 is 4032692721.

12729623040 is a `hidden beast` number, since 1 + 2 + 7 + 29 + 623 + 0 + 4 + 0 = 666.

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 = 12729622986 and 12729623004.

It is not an unprimeable number, because it can be changed into a prime (12729623047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35458381 + ... + 35458739.

Almost surely, 2^12729623040 is an apocalyptic number.

12729623040 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 12729623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24151802400).

12729623040 is an abundant number, since it is smaller than the sum of its proper divisors (35573981760).

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

12729623040 is an frugal number, since it uses more digits than its factorization.

12729623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12729623040 in words is "twelve billion, seven hundred twenty-nine million, six hundred twenty-three thousand, forty".