142041600000 has 780 divisors, whose sum is σ = 534236580108. Its totient is φ = 37601280000.

The previous prime is 142041599963. The next prime is 142041600011. The reversal of 142041600000 is 6140241.

142041600000 is a `hidden beast` number, since 1 + 4 + 20 + 41 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 112380493824 + 29661106176 = 335232^2 + 172224^2 .

It is a super-2 number, since 2×142041600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1036799932 + ... + 1036800068.

Almost surely, 2^142041600000 is an apocalyptic number.

142041600000 is a gapful number since it is divisible by the number (10) 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 142041600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267118290054).

142041600000 is an abundant number, since it is smaller than the sum of its proper divisors (392194980108).

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

142041600000 is an frugal number, since it uses more digits than its factorization.

142041600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 142041600000 its reverse (6140241), we get a palindrome (142047740241).

The spelling of 142041600000 in words is "one hundred forty-two billion, forty-one million, six hundred thousand".