12914173440 has 1200 divisors, whose sum is σ = 56896608384. Its totient is φ = 2786918400.

The previous prime is 12914173439. The next prime is 12914173501. The reversal of 12914173440 is 4437141921.

12914173440 is a `hidden beast` number, since 1 + 2 + 9 + 141 + 73 + 440 = 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 = 12914173395 and 12914173404.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 314979820 + ... + 314979860.

Almost surely, 2^12914173440 is an apocalyptic number.

12914173440 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 12914173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448304192).

12914173440 is an abundant number, since it is smaller than the sum of its proper divisors (43982434944).

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

12914173440 is an equidigital number, since it uses as much as digits as its factorization.

12914173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

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

The spelling of 12914173440 in words is "twelve billion, nine hundred fourteen million, one hundred seventy-three thousand, four hundred forty".