12973213440 has 648 divisors, whose sum is σ = 50763467664. Its totient is φ = 3054796800.

The previous prime is 12973213403. The next prime is 12973213441. The reversal of 12973213440 is 4431237921.

It is a happy number.

12973213440 is a `hidden beast` number, since 1 + 297 + 3 + 21 + 344 + 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 = 12973213395 and 12973213404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973213441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57150607 + ... + 57150833.

Almost surely, 2^12973213440 is an apocalyptic number.

12973213440 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 12973213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381733832).

12973213440 is an abundant number, since it is smaller than the sum of its proper divisors (37790254224).

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

12973213440 is a wasteful number, since it uses less digits than its factorization.

12973213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 289 counting only the distinct ones).

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

The spelling of 12973213440 in words is "twelve billion, nine hundred seventy-three million, two hundred thirteen thousand, four hundred forty".