379693440000000 has 3584 divisors, whose sum is σ = 1666965982556160. Its totient is φ = 83607552000000.

The previous prime is 379693439999953. The next prime is 379693440000023. The reversal of 379693440000000 is 44396973.

379693440000000 is a `hidden beast` number, since 37 + 96 + 93 + 440 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5201279999964 + ... + 5201280000036.

Almost surely, 2^{379693440000000} is an apocalyptic number.

379693440000000 is a gapful number since it is divisible by the number (30) 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 379693440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833482991278080).

379693440000000 is an abundant number, since it is smaller than the sum of its proper divisors (1287272542556160).

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

379693440000000 is an frugal number, since it uses more digits than its factorization.

379693440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

Adding to 379693440000000 its reverse (44396973), we get a palindrome (379693484396973).

The spelling of 379693440000000 in words is "three hundred seventy-nine trillion, six hundred ninety-three billion, four hundred forty million", and thus it is an aban number.