20411533440 has 288 divisors, whose sum is σ = 73205821260. Its totient is φ = 5441955840.

The previous prime is 20411533421. The next prime is 20411533489. The reversal of 20411533440 is 4433511402.

It is a happy number.

20411533440 is a `hidden beast` number, since 204 + 1 + 15 + 3 + 3 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19772859456 + 638673984 = 140616^2 + 25272^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4196610 + ... + 4201470.

Almost surely, 2^20411533440 is an apocalyptic number.

20411533440 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 20411533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602910630).

20411533440 is an abundant number, since it is smaller than the sum of its proper divisors (52794287820).

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

20411533440 is an frugal number, since it uses more digits than its factorization.

20411533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4871 counting only the distinct ones).

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

The spelling of 20411533440 in words is "twenty billion, four hundred eleven million, five hundred thirty-three thousand, four hundred forty".