39870384490000 has 225 divisors, whose sum is σ = 97305313948689. Its totient is φ = 15821110080000.

The previous prime is 39870384489997. The next prime is 39870384490009. The reversal of 39870384490000 is 9448307893.

The square root of 39870384490000 is 6314300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 38540108292624 + 1330276197376 = 6208068^2 + 1153376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39870384490009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147123189865 + ... + 147123190135.

Almost surely, 2^{39870384490000} is an apocalyptic number.

39870384490000 is the 6314300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39870384490000

39870384490000 is an abundant number, since it is smaller than the sum of its proper divisors (57434929458689).

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

39870384490000 is an frugal number, since it uses more digits than its factorization.

39870384490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 39870384490000 in words is "thirty-nine trillion, eight hundred seventy billion, three hundred eighty-four million, four hundred ninety thousand".