40142265200 has 120 divisors (see below), whose sum is σ = 101957871600. Its totient is φ = 15145850880.

The previous prime is 40142265197. The next prime is 40142265209. The reversal of 40142265200 is 256224104.

It is a super-2 number, since 2×40142265200² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40142265200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142265209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759466 + ... + 1782134.

It is an arithmetic number, because the mean of its divisors is an integer number (849648930).

Almost surely, 2^40142265200 is an apocalyptic number.

40142265200 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 40142265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50978935800).

40142265200 is an abundant number, since it is smaller than the sum of its proper divisors (61815606400).

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

40142265200 is a wasteful number, since it uses less digits than its factorization.

40142265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22939 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 40142265200 its reverse (256224104), we get a palindrome (40398489304).

The spelling of 40142265200 in words is "forty billion, one hundred forty-two million, two hundred sixty-five thousand, two hundred".