40700380320 has 288 divisors, whose sum is σ = 146497740480. Its totient is φ = 10261278720.

The previous prime is 40700380297. The next prime is 40700380367. The reversal of 40700380320 is 2308300704.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 16879915 + ... + 16882325.

It is an arithmetic number, because the mean of its divisors is an integer number (508672710).

Almost surely, 2^40700380320 is an apocalyptic number.

40700380320 is a gapful number since it is divisible by the number (40) 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 40700380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73248870240).

40700380320 is an abundant number, since it is smaller than the sum of its proper divisors (105797360160).

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

40700380320 is a wasteful number, since it uses less digits than its factorization.

40700380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 40700380320 in words is "forty billion, seven hundred million, three hundred eighty thousand, three hundred twenty".