4140235008000 has 3456 divisors, whose sum is σ = 19452835584000. Its totient is φ = 845365248000.

The previous prime is 4140235007933. The next prime is 4140235008001. The reversal of 4140235008000 is 8005320414.

4140235008000 is a `hidden beast` number, since 41 + 40 + 2 + 3 + 500 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140235008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133555967985 + ... + 133555968015.

It is an arithmetic number, because the mean of its divisors is an integer number (5628714000).

Almost surely, 2^{4140235008000} is an apocalyptic number.

4140235008000 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 4140235008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726417792000).

4140235008000 is an abundant number, since it is smaller than the sum of its proper divisors (15312600576000).

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

4140235008000 is a wasteful number, since it uses less digits than its factorization.

4140235008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 4140235008000 in words is "four trillion, one hundred forty billion, two hundred thirty-five million, eight thousand".