1940108544 has 576 divisors, whose sum is σ = 7064064000. Its totient is φ = 517570560.

The previous prime is 1940108537. The next prime is 1940108609. The reversal of 1940108544 is 4458010491.

1940108544 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 108 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1940108499 and 1940108508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24558297 + ... + 24558375.

It is an arithmetic number, because the mean of its divisors is an integer number (12264000).

Almost surely, 2^1940108544 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 1940108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532032000).

1940108544 is an abundant number, since it is smaller than the sum of its proper divisors (5123955456).

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

1940108544 is a wasteful number, since it uses less digits than its factorization.

1940108544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1940108544 is about 44046.6632561423. The cubic root of 1940108544 is about 1247.2169644222.

The spelling of 1940108544 in words is "one billion, nine hundred forty million, one hundred eight thousand, five hundred forty-four".