1218560448000 has 640 divisors, whose sum is σ = 4653208175616. Its totient is φ = 277143552000.

The previous prime is 1218560447977. The next prime is 1218560448029. The reversal of 1218560448000 is 8440658121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 1218560448000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283581852 + ... + 283586148.

Almost surely, 2^{1218560448000} is an apocalyptic number.

1218560448000 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 1218560448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326604087808).

1218560448000 is an abundant number, since it is smaller than the sum of its proper divisors (3434647727616).

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

1218560448000 is an equidigital number, since it uses as much as digits as its factorization.

1218560448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 1218560448000 in words is "one trillion, two hundred eighteen billion, five hundred sixty million, four hundred forty-eight thousand".