3940565819904 has 480 divisors, whose sum is σ = 13077721662720. Its totient is φ = 1118947737600.

The previous prime is 3940565819903. The next prime is 3940565819933. The reversal of 3940565819904 is 4099185650493.

3940565819904 is a `hidden beast` number, since 3 + 9 + 40 + 5 + 6 + 581 + 9 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3940565819903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5961521334 + ... + 5961521994.

It is an arithmetic number, because the mean of its divisors is an integer number (27245253464).

Almost surely, 2^{3940565819904} 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 3940565819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538860831360).

3940565819904 is an abundant number, since it is smaller than the sum of its proper divisors (9137155842816).

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

3940565819904 is a wasteful number, since it uses less digits than its factorization.

3940565819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 3940565819904 in words is "three trillion, nine hundred forty billion, five hundred sixty-five million, eight hundred nineteen thousand, nine hundred four".