40142727442000 has 40 divisors (see below), whose sum is σ = 97065114959592. Its totient is φ = 16057090976000.

The previous prime is 40142727441961. The next prime is 40142727442033. The reversal of 40142727442000 is 24472724104.

It can be written as a sum of positive squares in 4 ways, for example, as 5762189007936 + 34380538434064 = 2400456^2 + 5863492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40142727442000² (a number of 28 digits) 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10035679861 + ... + 10035683860.

Almost surely, 2^{40142727442000} is an apocalyptic number.

40142727442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40142727442000 is an abundant number, since it is smaller than the sum of its proper divisors (56922387517592).

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

40142727442000 is a wasteful number, since it uses less digits than its factorization.

40142727442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071363744 (or 20071363728 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 37.

The spelling of 40142727442000 in words is "forty trillion, one hundred forty-two billion, seven hundred twenty-seven million, four hundred forty-two thousand".