39946330168320 has 352 divisors, whose sum is σ = 133374907911168. Its totient is φ = 10185079652352.

The previous prime is 39946330168319. The next prime is 39946330168357. The reversal of 39946330168320 is 2386103364993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924512157 + ... + 924555363.

It is an arithmetic number, because the mean of its divisors is an integer number (378905988384).

Almost surely, 2^{39946330168320} is an apocalyptic number.

39946330168320 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 39946330168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66687453955584).

39946330168320 is an abundant number, since it is smaller than the sum of its proper divisors (93428577742848).

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

39946330168320 is a wasteful number, since it uses less digits than its factorization.

39946330168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45875 (or 45857 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 57.

The spelling of 39946330168320 in words is "thirty-nine trillion, nine hundred forty-six billion, three hundred thirty million, one hundred sixty-eight thousand, three hundred twenty".