40142252682 has 96 divisors (see below), whose sum is σ = 105679012608. Its totient is φ = 10763520768.

The previous prime is 40142252663. The next prime is 40142252791. The reversal of 40142252682 is 28625224104.

40142252682 is a `hidden beast` number, since 40 + 14 + 2 + 2 + 526 + 82 = 666.

It is a super-2 number, since 2×40142252682² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22918 + ... + 284270.

It is an arithmetic number, because the mean of its divisors is an integer number (1100823048).

Almost surely, 2^40142252682 is an apocalyptic number.

40142252682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142252682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52839506304).

40142252682 is an abundant number, since it is smaller than the sum of its proper divisors (65536759926).

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

40142252682 is a wasteful number, since it uses less digits than its factorization.

40142252682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261444 (or 261441 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 40142252682 its reverse (28625224104), we get a palindrome (68767476786).

The spelling of 40142252682 in words is "forty billion, one hundred forty-two million, two hundred fifty-two thousand, six hundred eighty-two".