39950843966224 has 45 divisors (see below), whose sum is σ = 82226702536501. Its totient is φ = 18800194899200.

The previous prime is 39950843966167. The next prime is 39950843966269. The reversal of 39950843966224 is 42266934805993.

The square root of 39950843966224 is 6320668.

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

39950843966224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31103598243600 + 8847245722624 = 5577060^2 + 2974432^2 .

It is a super-2 number, since 2×39950843966224² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 429758949 + ... + 429851899.

Almost surely, 2^{39950843966224} is an apocalyptic number.

39950843966224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

39950843966224 is the 6320668-th square number.

It is an amenable number.

39950843966224 is an abundant number, since it is smaller than the sum of its proper divisors (42275858570277).

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

39950843966224 is an frugal number, since it uses more digits than its factorization.

39950843966224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185944 (or 92970 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 70.

The spelling of 39950843966224 in words is "thirty-nine trillion, nine hundred fifty billion, eight hundred forty-three million, nine hundred sixty-six thousand, two hundred twenty-four".