40189160 has 64 divisors (see below), whose sum is σ = 99316800. Its totient is φ = 14515200.

The previous prime is 40189147. The next prime is 40189187. The reversal of 40189160 is 6198104.

40189160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 105851 + ... + 106229.

It is an arithmetic number, because the mean of its divisors is an integer number (1551825).

Almost surely, 2^40189160 is an apocalyptic number.

40189160 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 40189160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658400).

40189160 is an abundant number, since it is smaller than the sum of its proper divisors (59127640).

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

40189160 is a wasteful number, since it uses less digits than its factorization.

40189160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 40189160 is about 6339.4920932201. The cubic root of 40189160 is about 342.5334401789.

The spelling of 40189160 in words is "forty million, one hundred eighty-nine thousand, one hundred sixty".