1940796288 has 144 divisors (see below), whose sum is σ = 5801859960. Its totient is φ = 646652160.

The previous prime is 1940796269. The next prime is 1940796317. The reversal of 1940796288 is 8826970491.

1940796288 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 7 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 838653 + ... + 840963.

Almost surely, 2^1940796288 is an apocalyptic number.

1940796288 is a gapful number since it is divisible by the number (18) 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 1940796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900929980).

1940796288 is an abundant number, since it is smaller than the sum of its proper divisors (3861063672).

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

1940796288 is an frugal number, since it uses more digits than its factorization.

1940796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1940796288 is about 44054.4695575829. The cubic root of 1940796288 is about 1247.3643212373.

The spelling of 1940796288 in words is "one billion, nine hundred forty million, seven hundred ninety-six thousand, two hundred eighty-eight".