1940584128 has 224 divisors, whose sum is σ = 6192365568. Its totient is φ = 524620800.

The previous prime is 1940584123. The next prime is 1940584211. The reversal of 1940584128 is 8214850491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1940584128.

It is not an unprimeable number, because it can be changed into a prime (1940584123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957713 + ... + 1958703.

Almost surely, 2^1940584128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096182784).

1940584128 is an abundant number, since it is smaller than the sum of its proper divisors (4251781440).

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

1940584128 is a wasteful number, since it uses less digits than its factorization.

1940584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1940584128 is about 44052.0615635636. The cubic root of 1940584128 is about 1247.3188673069.

The spelling of 1940584128 in words is "one billion, nine hundred forty million, five hundred eighty-four thousand, one hundred twenty-eight".