40142160 has 120 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 10596096.

The previous prime is 40142159. The next prime is 40142161. The reversal of 40142160 is 6124104.

It is an interprime number because it is at equal distance from previous prime (40142159) and next prime (40142161).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40142160² = 3222786018931200, 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 (40142161) 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, 91221 + ... + 91659.

It is an arithmetic number, because the mean of its divisors is an integer number (1134848).

Almost surely, 2^40142160 is an apocalyptic number.

40142160 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 40142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

40142160 is an abundant number, since it is smaller than the sum of its proper divisors (96039600).

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

40142160 is a wasteful number, since it uses less digits than its factorization.

40142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40142160 is about 6335.7840872302. The cubic root of 40142160 is about 342.3998606137.

Adding to 40142160 its reverse (6124104), we get a palindrome (46266264).

The spelling of 40142160 in words is "forty million, one hundred forty-two thousand, one hundred sixty".