20114862243840 has 1920 divisors, whose sum is σ = 89258462092800. Its totient is φ = 4231784300544.

The previous prime is 20114862243823. The next prime is 20114862243841. The reversal of 20114862243840 is 4834226841102.

20114862243840 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 48 + 6 + 224 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114862243841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57967902547 + ... + 57967902893.

It is an arithmetic number, because the mean of its divisors is an integer number (46488782340).

Almost surely, 2^{20114862243840} is an apocalyptic number.

20114862243840 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 20114862243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44629231046400).

20114862243840 is an abundant number, since it is smaller than the sum of its proper divisors (69143599848960).

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

20114862243840 is an frugal number, since it uses more digits than its factorization.

20114862243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 20114862243840 in words is "twenty trillion, one hundred fourteen billion, eight hundred sixty-two million, two hundred forty-three thousand, eight hundred forty".