20411312040 has 256 divisors, whose sum is σ = 78448780800. Its totient is φ = 4623962112.

The previous prime is 20411312029. The next prime is 20411312057. The reversal of 20411312040 is 4021311402.

20411312040 is a `hidden beast` number, since 20 + 411 + 31 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 842334 + ... + 866226.

It is an arithmetic number, because the mean of its divisors is an integer number (306440550).

Almost surely, 2^20411312040 is an apocalyptic number.

20411312040 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 20411312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39224390400).

20411312040 is an abundant number, since it is smaller than the sum of its proper divisors (58037468760).

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

20411312040 is a wasteful number, since it uses less digits than its factorization.

20411312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24033 (or 24023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20411312040 its reverse (4021311402), we get a palindrome (24432623442).

It can be divided in two parts, 204113 and 12040, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 20411312040 in words is "twenty billion, four hundred eleven million, three hundred twelve thousand, forty".