40327580160 has 900 divisors, whose sum is σ = 169191766458. Its totient is φ = 9217732608.

The previous prime is 40327580147. The next prime is 40327580179. The reversal of 40327580160 is 6108572304.

40327580160 is a `hidden beast` number, since 40 + 3 + 27 + 580 + 16 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36294822144 + 4032758016 = 190512^2 + 63504^2 .

It is a super-2 number, since 2×40327580160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5761082877 + ... + 5761082883.

Almost surely, 2^40327580160 is an apocalyptic number.

40327580160 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 40327580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84595883229).

40327580160 is an abundant number, since it is smaller than the sum of its proper divisors (128864186298).

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

40327580160 is an frugal number, since it uses more digits than its factorization.

40327580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40327580160 in words is "forty billion, three hundred twenty-seven million, five hundred eighty thousand, one hundred sixty".