12667933440 has 360 divisors, whose sum is σ = 46094268528. Its totient is φ = 3321077760.

The previous prime is 12667933433. The next prime is 12667933471. The reversal of 12667933440 is 4433976621.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6323479 + ... + 6325481.

Almost surely, 2^12667933440 is an apocalyptic number.

12667933440 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 12667933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23047134264).

12667933440 is an abundant number, since it is smaller than the sum of its proper divisors (33426335088).

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

12667933440 is an equidigital number, since it uses as much as digits as its factorization.

12667933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12667933440 in words is "twelve billion, six hundred sixty-seven million, nine hundred thirty-three thousand, four hundred forty".