20146235040 has 288 divisors, whose sum is σ = 74865772800. Its totient is φ = 4913879040.

The previous prime is 20146235027. The next prime is 20146235041. The reversal of 20146235040 is 4053264102.

20146235040 is a `hidden beast` number, since 20 + 14 + 623 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20146234995 and 20146235013.

It is not an unprimeable number, because it can be changed into a prime (20146235041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780745 + ... + 806135.

It is an arithmetic number, because the mean of its divisors is an integer number (259950600).

Almost surely, 2^20146235040 is an apocalyptic number.

20146235040 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 20146235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37432886400).

20146235040 is an abundant number, since it is smaller than the sum of its proper divisors (54719537760).

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

20146235040 is a wasteful number, since it uses less digits than its factorization.

20146235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460 (or 25449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20146235040 its reverse (4053264102), we get a palindrome (24199499142).

The spelling of 20146235040 in words is "twenty billion, one hundred forty-six million, two hundred thirty-five thousand, forty".