20341823040 has 1008 divisors, whose sum is σ = 91065461760. Its totient is φ = 4075315200.

The previous prime is 20341823027. The next prime is 20341823041. The reversal of 20341823040 is 4032814302.

20341823040 is a `hidden beast` number, since 203 + 418 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 20341822995 and 20341823013.

It is not an unprimeable number, because it can be changed into a prime (20341823041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75620026 + ... + 75620294.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 2^20341823040 is an apocalyptic number.

20341823040 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 20341823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532730880).

20341823040 is an abundant number, since it is smaller than the sum of its proper divisors (70723638720).

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

20341823040 is a wasteful number, since it uses less digits than its factorization.

20341823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20341823040 in words is "twenty billion, three hundred forty-one million, eight hundred twenty-three thousand, forty".