20031127809840 has 480 divisors, whose sum is σ = 78614956892160. Its totient is φ = 4475545767936.

The previous prime is 20031127809779. The next prime is 20031127809857. The reversal of 20031127809840 is 4890872113002.

It is a happy number.

20031127809840 is a `hidden beast` number, since 20 + 0 + 311 + 278 + 0 + 9 + 8 + 40 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 191583657 + ... + 191688183.

It is an arithmetic number, because the mean of its divisors is an integer number (163781160192).

Almost surely, 2^{20031127809840} is an apocalyptic number.

20031127809840 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 20031127809840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39307478446080).

20031127809840 is an abundant number, since it is smaller than the sum of its proper divisors (58583829082320).

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

20031127809840 is a wasteful number, since it uses less digits than its factorization.

20031127809840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105409 (or 105400 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20031127809840 in words is "twenty trillion, thirty-one billion, one hundred twenty-seven million, eight hundred nine thousand, eight hundred forty".