42536437142040 has 192 divisors, whose sum is σ = 139826781619200. Its totient is φ = 11213575854336.

The previous prime is 42536437142033. The next prime is 42536437142081. The reversal of 42536437142040 is 4024173463524.

42536437142040 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 6 + 437 + 1 + 4 + 204 + 0 = 666.

42536437142040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 17298399 + ... + 19603761.

It is an arithmetic number, because the mean of its divisors is an integer number (728264487600).

Almost surely, 2^{42536437142040} is an apocalyptic number.

42536437142040 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 42536437142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69913390809600).

42536437142040 is an abundant number, since it is smaller than the sum of its proper divisors (97290344477160).

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

42536437142040 is a wasteful number, since it uses less digits than its factorization.

42536437142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305966 (or 2305959 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 42536437142040 in words is "forty-two trillion, five hundred thirty-six billion, four hundred thirty-seven million, one hundred forty-two thousand, forty".