20404275840 has 960 divisors, whose sum is σ = 84154914360. Its totient is φ = 4692639744.

The previous prime is 20404275811. The next prime is 20404275847. The reversal of 20404275840 is 4857240402.

It can be written as a sum of positive squares in 12 ways, for example, as 306110016 + 20098165824 = 17496^2 + 141768^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 = 20404275795 and 20404275804.

It is not an unprimeable number, because it can be changed into a prime (20404275847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148936252 + ... + 148936388.

Almost surely, 2^20404275840 is an apocalyptic number.

20404275840 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 20404275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42077457180).

20404275840 is an abundant number, since it is smaller than the sum of its proper divisors (63750638520).

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

20404275840 is a wasteful number, since it uses less digits than its factorization.

20404275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20404275840 in words is "twenty billion, four hundred four million, two hundred seventy-five thousand, eight hundred forty".