1920050044416 has 840 divisors, whose sum is σ = 6732851625720. Its totient is φ = 545163042816.

The previous prime is 1920050044411. The next prime is 1920050044447. The reversal of 1920050044416 is 6144400500291.

1920050044416 is a `hidden beast` number, since 1 + 9 + 200 + 5 + 0 + 0 + 4 + 441 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920050044411) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5066094915 + ... + 5066095293.

Almost surely, 2^{1920050044416} is an apocalyptic number.

1920050044416 is a gapful number since it is divisible by the number (16) 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 1920050044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366425812860).

1920050044416 is an abundant number, since it is smaller than the sum of its proper divisors (4812801581304).

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

1920050044416 is an frugal number, since it uses more digits than its factorization.

1920050044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1920050044416 in words is "one trillion, nine hundred twenty billion, fifty million, forty-four thousand, four hundred sixteen".