1920535040 has 40 divisors (see below), whose sum is σ = 4604788980. Its totient is φ = 768212992.

The previous prime is 1920535039. The next prime is 1920535049. The reversal of 1920535040 is 405350291.

It can be written as a sum of positive squares in 2 ways, for example, as 1842813184 + 77721856 = 42928^2 + 8816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1920534994 and 1920535012.

It is not an unprimeable number, because it can be changed into a prime (1920535049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 372545 + ... + 377664.

Almost surely, 2^1920535040 is an apocalyptic number.

1920535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1920535040 is an abundant number, since it is smaller than the sum of its proper divisors (2684253940).

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

1920535040 is an frugal number, since it uses more digits than its factorization.

1920535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750232 (or 750216 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1920535040 is about 43823.9094559123. The cubic root of 1920535040 is about 1243.0084426091.

It can be divided in two parts, 19205 and 35040, that added together give a palindrome (54245).

The spelling of 1920535040 in words is "one billion, nine hundred twenty million, five hundred thirty-five thousand, forty".