39445712820000 has 720 divisors, whose sum is σ = 142783267378752. Its totient is φ = 10324258560000.

The previous prime is 39445712819941. The next prime is 39445712820047. The reversal of 39445712820000 is 2821754493.

39445712820000 is a `hidden beast` number, since 39 + 4 + 4 + 571 + 28 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2901053202 + ... + 2901066798.

Almost surely, 2^{39445712820000} is an apocalyptic number.

39445712820000 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 39445712820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71391633689376).

39445712820000 is an abundant number, since it is smaller than the sum of its proper divisors (103337554558752).

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

39445712820000 is a wasteful number, since it uses less digits than its factorization.

39445712820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 39445712820000 in words is "thirty-nine trillion, four hundred forty-five billion, seven hundred twelve million, eight hundred twenty thousand".