12449014566240 has 2304 divisors, whose sum is σ = 52421935104000. Its totient is φ = 2461685022720.

The previous prime is 12449014566239. The next prime is 12449014566253. The reversal of 12449014566240 is 4266541094421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12449014566240.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 28357663941 + ... + 28357664379.

It is an arithmetic number, because the mean of its divisors is an integer number (22752576000).

Almost surely, 2^{12449014566240} is an apocalyptic number.

12449014566240 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 12449014566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210967552000).

12449014566240 is an abundant number, since it is smaller than the sum of its proper divisors (39972920537760).

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

12449014566240 is a wasteful number, since it uses less digits than its factorization.

12449014566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 12449014566240 in words is "twelve trillion, four hundred forty-nine billion, fourteen million, five hundred sixty-six thousand, two hundred forty".