40230142134210 has 384 divisors, whose sum is σ = 129060295902720. Its totient is φ = 8821809045504.

The previous prime is 40230142134103. The next prime is 40230142134277. The reversal of 40230142134210 is 1243124103204.

40230142134210 is a `hidden beast` number, since 4 + 0 + 2 + 301 + 4 + 2 + 1 + 342 + 10 = 666.

40230142134210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40230142134210³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77186802 + ... + 77706258.

It is an arithmetic number, because the mean of its divisors is an integer number (336094520580).

Almost surely, 2^{40230142134210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40230142134210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64530147951360).

40230142134210 is an abundant number, since it is smaller than the sum of its proper divisors (88830153768510).

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

40230142134210 is a wasteful number, since it uses less digits than its factorization.

40230142134210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519672 (or 519660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40230142134210 its reverse (1243124103204), we get a palindrome (41473266237414).

The spelling of 40230142134210 in words is "forty trillion, two hundred thirty billion, one hundred forty-two million, one hundred thirty-four thousand, two hundred ten".