12966913440 has 576 divisors, whose sum is σ = 49702082976. Its totient is φ = 3057647616.

The previous prime is 12966913429. The next prime is 12966913447. The reversal of 12966913440 is 4431966921.

It can be written as a sum of positive squares in 16 ways, for example, as 477509904 + 12489403536 = 21852^2 + 111756^2 .

It is a super-3 number, since 3×12966913440³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12966913447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67185984 + ... + 67186176.

Almost surely, 2^12966913440 is an apocalyptic number.

12966913440 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 12966913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851041488).

12966913440 is an abundant number, since it is smaller than the sum of its proper divisors (36735169536).

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

12966913440 is a wasteful number, since it uses less digits than its factorization.

12966913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12966913440 in words is "twelve billion, nine hundred sixty-six million, nine hundred thirteen thousand, four hundred forty".