40016160 has 192 divisors, whose sum is σ = 143337600. Its totient is φ = 10423296.

The previous prime is 40016153. The next prime is 40016161. The reversal of 40016160 is 6161004.

It is a super-2 number, since 2×40016160² = 3202586122291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40016161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254802 + ... + 254958.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 2^40016160 is an apocalyptic number.

40016160 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 40016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

40016160 is an abundant number, since it is smaller than the sum of its proper divisors (103321440).

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

40016160 is a wasteful number, since it uses less digits than its factorization.

40016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40016160 is about 6325.8327515039. The cubic root of 40016160 is about 342.0412384868.

Adding to 40016160 its reverse (6161004), we get a palindrome (46177164).

The spelling of 40016160 in words is "forty million, sixteen thousand, one hundred sixty".