1920337440 has 144 divisors (see below), whose sum is σ = 7036751232. Its totient is φ = 438928896.

The previous prime is 1920337427. The next prime is 1920337483. The reversal of 1920337440 is 447330291.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17304 + ... + 64343.

It is an arithmetic number, because the mean of its divisors is an integer number (48866328).

Almost surely, 2^1920337440 is an apocalyptic number.

1920337440 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 1920337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518375616).

1920337440 is an abundant number, since it is smaller than the sum of its proper divisors (5116413792).

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

1920337440 is a wasteful number, since it uses less digits than its factorization.

1920337440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81679 (or 81664 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1920337440 is about 43821.6549208265. The cubic root of 1920337440 is about 1242.9658109314.

The spelling of 1920337440 in words is "one billion, nine hundred twenty million, three hundred thirty-seven thousand, four hundred forty".