39641228928 has 640 divisors, whose sum is σ = 140402592000. Its totient is φ = 11095418880.

The previous prime is 39641228897. The next prime is 39641228929. The reversal of 39641228928 is 82982214693.

39641228928 is a `hidden beast` number, since 396 + 4 + 1 + 228 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39641228929) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252491826 + ... + 252491982.

It is an arithmetic number, because the mean of its divisors is an integer number (219379050).

Almost surely, 2^39641228928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39641228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70201296000).

39641228928 is an abundant number, since it is smaller than the sum of its proper divisors (100761363072).

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

39641228928 is an equidigital number, since it uses as much as digits as its factorization.

39641228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 39641228928 in words is "thirty-nine billion, six hundred forty-one million, two hundred twenty-eight thousand, nine hundred twenty-eight".