319901400000 has 2520 divisors, whose sum is σ = 1532760147072. Its totient is φ = 65318400000.

The previous prime is 319901399981. The next prime is 319901400023. The reversal of 319901400000 is 4109913.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 10319399985 + ... + 10319400015.

Almost surely, 2^319901400000 is an apocalyptic number.

319901400000 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 319901400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766380073536).

319901400000 is an abundant number, since it is smaller than the sum of its proper divisors (1212858747072).

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

319901400000 is an equidigital number, since it uses as much as digits as its factorization.

319901400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 319901400000 its reverse (4109913), we get a palindrome (319905509913).

The spelling of 319901400000 in words is "three hundred nineteen billion, nine hundred one million, four hundred thousand".