40142134010100 has 144 divisors (see below), whose sum is σ = 117215107128000. Its totient is φ = 10606334315520.

The previous prime is 40142134010093. The next prime is 40142134010141. The reversal of 40142134010100 is 101043124104.

It is a super-3 number, since 3×40142134010100³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13525576 + ... + 16224224.

It is an arithmetic number, because the mean of its divisors is an integer number (813993799500).

Almost surely, 2^{40142134010100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142134010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58607553564000).

40142134010100 is an abundant number, since it is smaller than the sum of its proper divisors (77072973117900).

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

40142134010100 is a wasteful number, since it uses less digits than its factorization.

40142134010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699122 (or 2699115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 40142134010100 its reverse (101043124104), we get a palindrome (40243177134204).

The spelling of 40142134010100 in words is "forty trillion, one hundred forty-two billion, one hundred thirty-four million, ten thousand, one hundred".