39620997808128 has 1344 divisors, whose sum is σ = 140831969241600. Its totient is φ = 11007531417600.

The previous prime is 39620997808123. The next prime is 39620997808177. The reversal of 39620997808128 is 82180879902693.

39620997808128 is a `hidden beast` number, since 396 + 2 + 0 + 99 + 78 + 0 + 81 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39620997808123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1278096703473 + ... + 1278096703503.

It is an arithmetic number, because the mean of its divisors is an integer number (104785691400).

Almost surely, 2^{39620997808128} is an apocalyptic number.

39620997808128 is a gapful number since it is divisible by the number (38) 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 39620997808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70415984620800).

39620997808128 is an abundant number, since it is smaller than the sum of its proper divisors (101210971433472).

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

39620997808128 is an frugal number, since it uses more digits than its factorization.

39620997808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 39620997808128 in words is "thirty-nine trillion, six hundred twenty billion, nine hundred ninety-seven million, eight hundred eight thousand, one hundred twenty-eight".