12627109440 has 560 divisors, whose sum is σ = 49806782784. Its totient is φ = 3010867200.

The previous prime is 12627109421. The next prime is 12627109447. The reversal of 12627109440 is 4490172621.

It is a happy number.

12627109440 is a `hidden beast` number, since 12 + 627 + 10 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×12627109440² (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 = 12627109395 and 12627109404.

It is not an unprimeable number, because it can be changed into a prime (12627109447) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 19102710 + ... + 19103370.

Almost surely, 2^12627109440 is an apocalyptic number.

12627109440 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 12627109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903391392).

12627109440 is an abundant number, since it is smaller than the sum of its proper divisors (37179673344).

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

12627109440 is a wasteful number, since it uses less digits than its factorization.

12627109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

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

The spelling of 12627109440 in words is "twelve billion, six hundred twenty-seven million, one hundred nine thousand, four hundred forty".