40142880 has 144 divisors (see below), whose sum is σ = 139537944. Its totient is φ = 10506240.

The previous prime is 40142863. The next prime is 40142929. The reversal of 40142880 is 8824104.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 11370384 = 5364^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40142880² = 3222901629388800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 87612 + ... + 88068.

Almost surely, 2^40142880 is an apocalyptic number.

40142880 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 40142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768972).

40142880 is an abundant number, since it is smaller than the sum of its proper divisors (99395064).

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

40142880 is a wasteful number, since it uses less digits than its factorization.

40142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40142880 is about 6335.8409070935. The cubic root of 40142880 is about 342.4019077251.

Adding to 40142880 its reverse (8824104), we get a palindrome (48966984).

The spelling of 40142880 in words is "forty million, one hundred forty-two thousand, eight hundred eighty".