1930408480000 has 1440 divisors, whose sum is σ = 6854914725120. Its totient is φ = 521994240000.

The previous prime is 1930408479913. The next prime is 1930408480003. The reversal of 1930408480000 is 848040391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930408480003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2722719646 + ... + 2722720354.

It is an arithmetic number, because the mean of its divisors is an integer number (4760357448).

Almost surely, 2^{1930408480000} is an apocalyptic number.

1930408480000 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 1930408480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427457362560).

1930408480000 is an abundant number, since it is smaller than the sum of its proper divisors (4924506245120).

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

1930408480000 is a wasteful number, since it uses less digits than its factorization.

1930408480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 1930408480000 in words is "one trillion, nine hundred thirty billion, four hundred eight million, four hundred eighty thousand".