20433409920 has 640 divisors, whose sum is σ = 90995097600. Its totient is φ = 4245073920.

The previous prime is 20433409883. The next prime is 20433409933. The reversal of 20433409920 is 2990433402.

20433409920 is a `hidden beast` number, since 204 + 3 + 340 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3989121 + ... + 3994239.

It is an arithmetic number, because the mean of its divisors is an integer number (142179840).

Almost surely, 2^20433409920 is an apocalyptic number.

20433409920 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 20433409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497548800).

20433409920 is an abundant number, since it is smaller than the sum of its proper divisors (70561687680).

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

20433409920 is a wasteful number, since it uses less digits than its factorization.

20433409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20433409920 in words is "twenty billion, four hundred thirty-three million, four hundred nine thousand, nine hundred twenty".