40512952160 has 96 divisors (see below), whose sum is σ = 102168864000. Its totient is φ = 15135966720.

The previous prime is 40512952157. The next prime is 40512952189. The reversal of 40512952160 is 6125921504.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40512952160.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 121991 + ... + 309689.

It is an arithmetic number, because the mean of its divisors is an integer number (1064259000).

Almost surely, 2^40512952160 is an apocalyptic number.

40512952160 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 40512952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51084432000).

40512952160 is an abundant number, since it is smaller than the sum of its proper divisors (61655911840).

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

40512952160 is a wasteful number, since it uses less digits than its factorization.

40512952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187804 (or 187796 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 40512952160 in words is "forty billion, five hundred twelve million, nine hundred fifty-two thousand, one hundred sixty".