12729454140 has 384 divisors, whose sum is σ = 42247941120. Its totient is φ = 2835136512.

The previous prime is 12729454139. The next prime is 12729454141. The reversal of 12729454140 is 4145492721.

It is an interprime number because it is at equal distance from previous prime (12729454139) and next prime (12729454141).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729454141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41463867 + ... + 41464173.

It is an arithmetic number, because the mean of its divisors is an integer number (110020680).

Almost surely, 2^12729454140 is an apocalyptic number.

12729454140 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 12729454140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123970560).

12729454140 is an abundant number, since it is smaller than the sum of its proper divisors (29518486980).

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

12729454140 is a wasteful number, since it uses less digits than its factorization.

12729454140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12729454140 in words is "twelve billion, seven hundred twenty-nine million, four hundred fifty-four thousand, one hundred forty".