39960380181816 has 160 divisors (see below), whose sum is σ = 117062162854560. Its totient is φ = 12711563808768.

The previous prime is 39960380181811. The next prime is 39960380181853. The reversal of 39960380181816 is 61818108306993.

39960380181816 is a `hidden beast` number, since 3 + 9 + 9 + 60 + 380 + 18 + 181 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960380181811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3357376 + ... + 9549488.

It is an arithmetic number, because the mean of its divisors is an integer number (731638517841).

Almost surely, 2^{39960380181816} is an apocalyptic number.

39960380181816 is a gapful number since it is divisible by the number (36) 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 39960380181816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58531081427280).

39960380181816 is an abundant number, since it is smaller than the sum of its proper divisors (77101782672744).

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

39960380181816 is a wasteful number, since it uses less digits than its factorization.

39960380181816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192587 (or 6192574 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 39960380181816 in words is "thirty-nine trillion, nine hundred sixty billion, three hundred eighty million, one hundred eighty-one thousand, eight hundred sixteen".