39904539536016 has 135 divisors (see below), whose sum is σ = 112463662348219. Its totient is φ = 13208501611776.

The previous prime is 39904539535999. The next prime is 39904539536041. The reversal of 39904539536016 is 61063593540993.

It is a happy number.

The square root of 39904539536016 is 6317004.

It is a perfect power (a square), and thus also a powerful number.

39904539536016 is a `hidden beast` number, since 3 + 9 + 90 + 4 + 5 + 3 + 9 + 536 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334199610000 + 39570339926016 = 578100^2 + 6290496^2 .

It is a super-3 number, since 3×39904539536016³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11294801386 + ... + 11294804918.

Almost surely, 2^{39904539536016} is an apocalyptic number.

39904539536016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39904539536016 is the 6317004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39904539536016

39904539536016 is an abundant number, since it is smaller than the sum of its proper divisors (72559122812203).

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

39904539536016 is an frugal number, since it uses more digits than its factorization.

39904539536016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 70858800, while the sum is 63.

The spelling of 39904539536016 in words is "thirty-nine trillion, nine hundred four billion, five hundred thirty-nine million, five hundred thirty-six thousand, sixteen".