40806400320 has 1260 divisors, whose sum is σ = 180211575060. Its totient is φ = 8736989184.

The previous prime is 40806400273. The next prime is 40806400321. The reversal of 40806400320 is 2300460804.

It can be written as a sum of positive squares in 2 ways, for example, as 11095672896 + 29710727424 = 105336^2 + 172368^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×40806400320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40806400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 458498836 + ... + 458498924.

Almost surely, 2^40806400320 is an apocalyptic number.

40806400320 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 40806400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90105787530).

40806400320 is an abundant number, since it is smaller than the sum of its proper divisors (139405174740).

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

40806400320 is a wasteful number, since it uses less digits than its factorization.

40806400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 40806400320 in words is "forty billion, eight hundred six million, four hundred thousand, three hundred twenty".