20002110313140 has 288 divisors, whose sum is σ = 66510054374400. Its totient is φ = 4846880747520.

The previous prime is 20002110313093. The next prime is 20002110313181. The reversal of 20002110313140 is 4131301120002.

20002110313140 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 211 + 0 + 313 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11145466 + ... + 12815054.

It is an arithmetic number, because the mean of its divisors is an integer number (230937688800).

Almost surely, 2^{20002110313140} is an apocalyptic number.

20002110313140 is a gapful number since it is divisible by the number (20) 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 20002110313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33255027187200).

20002110313140 is an abundant number, since it is smaller than the sum of its proper divisors (46507944061260).

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

20002110313140 is a wasteful number, since it uses less digits than its factorization.

20002110313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669767 (or 1669762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20002110313140 its reverse (4131301120002), we get a palindrome (24133411433142).

The spelling of 20002110313140 in words is "twenty trillion, two billion, one hundred ten million, three hundred thirteen thousand, one hundred forty".