119004132409344 has 2592 divisors, whose sum is σ = 459481901598720. Its totient is φ = 29365647704064.

The previous prime is 119004132409343. The next prime is 119004132409457. The reversal of 119004132409344 is 443904231400911.

119004132409344 is a `hidden beast` number, since 1 + 1 + 90 + 0 + 413 + 24 + 0 + 93 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 119004132409344.

It is not an unprimeable number, because it can be changed into a prime (119004132409343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 937040412609 + ... + 937040412735.

It is an arithmetic number, because the mean of its divisors is an integer number (177269252160).

Almost surely, 2^{119004132409344} is an apocalyptic number.

119004132409344 is a gapful number since it is divisible by the number (14) 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 119004132409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229740950799360).

119004132409344 is an abundant number, since it is smaller than the sum of its proper divisors (340477769189376).

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

119004132409344 is a wasteful number, since it uses less digits than its factorization.

119004132409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 119004132409344 in words is "one hundred nineteen trillion, four billion, one hundred thirty-two million, four hundred nine thousand, three hundred forty-four".