20366821440 has 1344 divisors, whose sum is σ = 92024045568. Its totient is φ = 4180377600.

The previous prime is 20366821429. The next prime is 20366821441. The reversal of 20366821440 is 4412866302.

20366821440 is a `hidden beast` number, since 203 + 6 + 6 + 8 + 2 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 20366821395 and 20366821404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20366821441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286856605 + ... + 286856675.

It is an arithmetic number, because the mean of its divisors is an integer number (68470272).

Almost surely, 2^20366821440 is an apocalyptic number.

20366821440 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 20366821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012022784).

20366821440 is an abundant number, since it is smaller than the sum of its proper divisors (71657224128).

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

20366821440 is a wasteful number, since it uses less digits than its factorization.

20366821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20366821440 in words is "twenty billion, three hundred sixty-six million, eight hundred twenty-one thousand, four hundred forty".