39640320000 has 960 divisors, whose sum is σ = 155560204800. Its totient is φ = 9953280000.

The previous prime is 39640319977. The next prime is 39640320077. The reversal of 39640320000 is 2304693.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1071359982 + ... + 1071360018.

It is an arithmetic number, because the mean of its divisors is an integer number (162041880).

Almost surely, 2^39640320000 is an apocalyptic number.

39640320000 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 39640320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780102400).

39640320000 is an abundant number, since it is smaller than the sum of its proper divisors (115919884800).

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

39640320000 is an equidigital number, since it uses as much as digits as its factorization.

39640320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 39640320000 its reverse (2304693), we get a palindrome (39642624693).

The spelling of 39640320000 in words is "thirty-nine billion, six hundred forty million, three hundred twenty thousand".