1930080240000 has 960 divisors, whose sum is σ = 7603005009600. Its totient is φ = 465937920000.

The previous prime is 1930080239999. The next prime is 1930080240019. The reversal of 1930080240000 is 420800391.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 3001679679 + ... + 3001680321.

It is an arithmetic number, because the mean of its divisors is an integer number (7919796885).

Almost surely, 2^{1930080240000} is an apocalyptic number.

1930080240000 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 1930080240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801502504800).

1930080240000 is an abundant number, since it is smaller than the sum of its proper divisors (5672924769600).

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

1930080240000 is a wasteful number, since it uses less digits than its factorization.

1930080240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1930080240000 in words is "one trillion, nine hundred thirty billion, eighty million, two hundred forty thousand".