40515168 has 48 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 13301376.

The previous prime is 40515157. The next prime is 40515173. The reversal of 40515168 is 86151504.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3283 + ... + 9581.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^40515168 is an apocalyptic number.

40515168 is a gapful number since it is divisible by the number (48) 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 40515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

40515168 is an abundant number, since it is smaller than the sum of its proper divisors (67441632).

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

40515168 is a wasteful number, since it uses less digits than its factorization.

40515168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 40515168 is about 6365.1526297490. The cubic root of 40515168 is about 343.4571390833.

The spelling of 40515168 in words is "forty million, five hundred fifteen thousand, one hundred sixty-eight".