20141023304430 has 512 divisors, whose sum is σ = 64344372019200. Its totient is φ = 4383383330304.

The previous prime is 20141023304429. The next prime is 20141023304483. The reversal of 20141023304430 is 3440332014102.

20141023304430 is a `hidden beast` number, since 201 + 4 + 1 + 0 + 23 + 3 + 0 + 4 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20141023304394 and 20141023304403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12303617572 + ... + 12303619208.

It is an arithmetic number, because the mean of its divisors is an integer number (125672601600).

Almost surely, 2^{20141023304430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141023304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172186009600).

20141023304430 is an abundant number, since it is smaller than the sum of its proper divisors (44203348714770).

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

20141023304430 is a wasteful number, since it uses less digits than its factorization.

20141023304430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20141023304430 its reverse (3440332014102), we get a palindrome (23581355318532).

The spelling of 20141023304430 in words is "twenty trillion, one hundred forty-one billion, twenty-three million, three hundred four thousand, four hundred thirty".