1940825128 has 64 divisors (see below), whose sum is σ = 4232088000. Its totient is φ = 824632320.

The previous prime is 1940825099. The next prime is 1940825147. The reversal of 1940825128 is 8215280491.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218551 + ... + 227257.

It is an arithmetic number, because the mean of its divisors is an integer number (66126375).

Almost surely, 2^1940825128 is an apocalyptic number.

1940825128 is the 27863-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940825128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116044000).

1940825128 is an abundant number, since it is smaller than the sum of its proper divisors (2291262872).

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

1940825128 is a wasteful number, since it uses less digits than its factorization.

1940825128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1940825128 is about 44054.7968784331. The cubic root of 1940825128 is about 1247.3704997681.

The spelling of 1940825128 in words is "one billion, nine hundred forty million, eight hundred twenty-five thousand, one hundred twenty-eight".