1204166406144 has 208 divisors, whose sum is σ = 3501501785600. Its totient is φ = 365818871808.

The previous prime is 1204166406143. The next prime is 1204166406181. The reversal of 1204166406144 is 4416046614021.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1204166406143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12572067 + ... + 12667485.

It is an arithmetic number, because the mean of its divisors is an integer number (16834143200).

Almost surely, 2^{1204166406144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204166406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750750892800).

1204166406144 is an abundant number, since it is smaller than the sum of its proper divisors (2297335379456).

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

1204166406144 is an equidigital number, since it uses as much as digits as its factorization.

1204166406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95538 (or 95516 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 1204166406144 in words is "one trillion, two hundred four billion, one hundred sixty-six million, four hundred six thousand, one hundred forty-four".