1218800840160 has 384 divisors, whose sum is σ = 4196659299840. Its totient is φ = 296275968000.

The previous prime is 1218800840149. The next prime is 1218800840161. The reversal of 1218800840160 is 610480088121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218800840161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27273835 + ... + 27318485.

It is an arithmetic number, because the mean of its divisors is an integer number (10928800260).

Almost surely, 2^{1218800840160} is an apocalyptic number.

1218800840160 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 1218800840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098329649920).

1218800840160 is an abundant number, since it is smaller than the sum of its proper divisors (2977858459680).

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

1218800840160 is a wasteful number, since it uses less digits than its factorization.

1218800840160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44802 (or 44794 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 1218800840160 in words is "one trillion, two hundred eighteen billion, eight hundred million, eight hundred forty thousand, one hundred sixty".