39707944427776 has 81 divisors (see below), whose sum is σ = 84201071782989. Its totient is φ = 18685284913152.

The previous prime is 39707944427771. The next prime is 39707944427807. The reversal of 39707944427776 is 67772444970793.

The square root of 39707944427776 is 6301424.

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

It can be written as a sum of positive squares in only one way, i.e., 30914489606400 + 8793454821376 = 5560080^2 + 2965376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39707944427771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1713975745 + ... + 1713998911.

Almost surely, 2^{39707944427776} is an apocalyptic number.

39707944427776 is the 6301424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39707944427776

39707944427776 is an abundant number, since it is smaller than the sum of its proper divisors (44493127355213).

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

39707944427776 is an frugal number, since it uses more digits than its factorization.

39707944427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46384 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 3136589568, while the sum is 76.

The spelling of 39707944427776 in words is "thirty-nine trillion, seven hundred seven billion, nine hundred forty-four million, four hundred twenty-seven thousand, seven hundred seventy-six".