39668797440 has 364 divisors, whose sum is σ = 142778664324. Its totient is φ = 10574364672.

The previous prime is 39668797433. The next prime is 39668797453. The reversal of 39668797440 is 4479786693.

It can be written as a sum of positive squares in 2 ways, for example, as 20077756416 + 19591041024 = 141696^2 + 139968^2 .

It is a super-2 number, since 2×39668797440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 14928592 + ... + 14931248.

Almost surely, 2^39668797440 is an apocalyptic number.

39668797440 is a gapful number since it is divisible by the number (30) 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 39668797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71389332162).

39668797440 is an abundant number, since it is smaller than the sum of its proper divisors (103109866884).

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

39668797440 is an frugal number, since it uses more digits than its factorization.

39668797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 39668797440 in words is "thirty-nine billion, six hundred sixty-eight million, seven hundred ninety-seven thousand, four hundred forty".