39668330958400 has 63 divisors (see below), whose sum is σ = 97609506776659. Its totient is φ = 15867231610880.

The previous prime is 39668330958379. The next prime is 39668330958401. The reversal of 39668330958400 is 485903386693.

The square root of 39668330958400 is 6298280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13783517563456 + 25884813394944 = 3712616^2 + 5087712^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39668330958401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 251852472 + ... + 252009928.

Almost surely, 2^{39668330958400} is an apocalyptic number.

39668330958400 is the 6298280-th square number.

It is an amenable number.

39668330958400 is an abundant number, since it is smaller than the sum of its proper divisors (57941175818259).

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

39668330958400 is an frugal number, since it uses more digits than its factorization.

39668330958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314936 (or 157464 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 64.

39668330958400 divided by its sum of digits (64) gives a square (619817671225 = 787285²).

The spelling of 39668330958400 in words is "thirty-nine trillion, six hundred sixty-eight billion, three hundred thirty million, nine hundred fifty-eight thousand, four hundred".