40368160 has 144 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 13063680.

The previous prime is 40368143. The next prime is 40368161. The reversal of 40368160 is 6186304.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40368161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148825 + ... + 149095.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 2^40368160 is an apocalyptic number.

40368160 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 40368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

40368160 is an abundant number, since it is smaller than the sum of its proper divisors (76842080).

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

40368160 is a wasteful number, since it uses less digits than its factorization.

40368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 40368160 is about 6353.5942583706. The cubic root of 40368160 is about 343.0412278640.

The spelling of 40368160 in words is "forty million, three hundred sixty-eight thousand, one hundred sixty".