39666620400 has 720 divisors, whose sum is σ = 148408536960. Its totient is φ = 8975616000.

The previous prime is 39666620339. The next prime is 39666620417. The reversal of 39666620400 is 402666693.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 672315571 + ... + 672315629.

It is an arithmetic number, because the mean of its divisors is an integer number (206122968).

Almost surely, 2^39666620400 is an apocalyptic number.

39666620400 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 39666620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74204268480).

39666620400 is an abundant number, since it is smaller than the sum of its proper divisors (108741916560).

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

39666620400 is a wasteful number, since it uses less digits than its factorization.

39666620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

It can be divided in two parts, 39666 and 620400, that added together give a palindrome (660066).

The spelling of 39666620400 in words is "thirty-nine billion, six hundred sixty-six million, six hundred twenty thousand, four hundred".