40342142010000 has 200 divisors, whose sum is σ = 130388516368704. Its totient is φ = 10744794560000.

The previous prime is 40342142009977. The next prime is 40342142010013. The reversal of 40342142010000 is 1024124304.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 23811037 + ... + 25448963.

Almost surely, 2^{40342142010000} is an apocalyptic number.

40342142010000 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 40342142010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65194258184352).

40342142010000 is an abundant number, since it is smaller than the sum of its proper divisors (90046374358704).

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

40342142010000 is a wasteful number, since it uses less digits than its factorization.

40342142010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638779 (or 1638758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40342142010000 its reverse (1024124304), we get a palindrome (40343166134304).

The spelling of 40342142010000 in words is "forty trillion, three hundred forty-two billion, one hundred forty-two million, ten thousand".