1218611640960 has 384 divisors, whose sum is σ = 4987285430400. Its totient is φ = 278539554816.

The previous prime is 1218611640947. The next prime is 1218611640971. The reversal of 1218611640960 is 690461168121.

1218611640960 is a `hidden beast` number, since 1 + 2 + 186 + 1 + 1 + 6 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528946 + ... + 1648334.

It is an arithmetic number, because the mean of its divisors is an integer number (12987722475).

Almost surely, 2^{1218611640960} is an apocalyptic number.

1218611640960 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 1218611640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493642715200).

1218611640960 is an abundant number, since it is smaller than the sum of its proper divisors (3768673789440).

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

1218611640960 is an equidigital number, since it uses as much as digits as its factorization.

1218611640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119430 (or 1119406 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1218611640960 in words is "one trillion, two hundred eighteen billion, six hundred eleven million, six hundred forty thousand, nine hundred sixty".