1940444640 has 192 divisors, whose sum is σ = 6837203520. Its totient is φ = 513976320.

The previous prime is 1940444629. The next prime is 1940444669. The reversal of 1940444640 is 464440491.

1940444640 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 4 + 4 + 4 + 640 = 666.

1940444640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1940444595 and 1940444604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676810 + ... + 679670.

It is an arithmetic number, because the mean of its divisors is an integer number (35610435).

Almost surely, 2^1940444640 is an apocalyptic number.

1940444640 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 1940444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418601760).

1940444640 is an abundant number, since it is smaller than the sum of its proper divisors (4896758880).

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

1940444640 is a wasteful number, since it uses less digits than its factorization.

1940444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1940444640 is about 44050.4783174939. The cubic root of 1940444640 is about 1247.2889810851.

The spelling of 1940444640 in words is "one billion, nine hundred forty million, four hundred forty-four thousand, six hundred forty".