1939121791920 has 720 divisors, whose sum is σ = 7334213571360. Its totient is φ = 456286666752.

The previous prime is 1939121791909. The next prime is 1939121791931. The reversal of 1939121791920 is 291971219391.

1939121791920 is a `hidden beast` number, since 1 + 9 + 391 + 217 + 9 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1939121791909) and next prime (1939121791931).

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2969558314 + ... + 2969558966.

It is an arithmetic number, because the mean of its divisors is an integer number (10186407738).

Almost surely, 2^{1939121791920} is an apocalyptic number.

1939121791920 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 1939121791920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667106785680).

1939121791920 is an abundant number, since it is smaller than the sum of its proper divisors (5395091779440).

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

1939121791920 is a wasteful number, since it uses less digits than its factorization.

1939121791920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 1939121791920 in words is "one trillion, nine hundred thirty-nine billion, one hundred twenty-one million, seven hundred ninety-one thousand, nine hundred twenty".