10142140241040 has 80 divisors (see below), whose sum is σ = 31443962868288. Its totient is φ = 2704284441088.

The previous prime is 10142140241027. The next prime is 10142140241197. The reversal of 10142140241040 is 4014204124101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10142140241040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40174 + ... + 4503986.

Almost surely, 2^{10142140241040} is an apocalyptic number.

10142140241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142140241040 is an abundant number, since it is smaller than the sum of its proper divisors (21301822627248).

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

10142140241040 is a wasteful number, since it uses less digits than its factorization.

10142140241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473296 (or 4473290 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10142140241040 its reverse (4014204124101), we get a palindrome (14156344365141).

The spelling of 10142140241040 in words is "ten trillion, one hundred forty-two billion, one hundred forty million, two hundred forty-one thousand, forty".