40142080 has 72 divisors (see below), whose sum is σ = 104930784. Its totient is φ = 14592000.

The previous prime is 40142071. The next prime is 40142129. The reversal of 40142080 is 8024104.

It is a super-2 number, since 2×40142080² = 3222773173452800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12655 + ... + 15505.

It is an arithmetic number, because the mean of its divisors is an integer number (1457372).

Almost surely, 2^40142080 is an apocalyptic number.

40142080 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 40142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52465392).

40142080 is an abundant number, since it is smaller than the sum of its proper divisors (64788704).

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

40142080 is a wasteful number, since it uses less digits than its factorization.

40142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 40142080 is about 6335.7777738806. Note that the first 5 decimals coincide. The cubic root of 40142080 is about 342.3996331553.

Adding to 40142080 its reverse (8024104), we get a palindrome (48166184).

The spelling of 40142080 in words is "forty million, one hundred forty-two thousand, eighty".