20413154464020 has 72 divisors (see below), whose sum is σ = 62150087530440. Its totient is φ = 5423271755520.

The previous prime is 20413154464009. The next prime is 20413154464033. The reversal of 20413154464020 is 2046445131402.

20413154464020 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 1 + 5 + 4 + 4 + 640 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4462774416 + 20408691689604 = 66804^2 + 4517598^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210744171 + ... + 210841010.

It is an arithmetic number, because the mean of its divisors is an integer number (863195660145).

Almost surely, 2^{20413154464020} is an apocalyptic number.

20413154464020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413154464020 is an abundant number, since it is smaller than the sum of its proper divisors (41736933066420).

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

20413154464020 is a wasteful number, since it uses less digits than its factorization.

20413154464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421585465 (or 421585460 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 20413154464020 its reverse (2046445131402), we get a palindrome (22459599595422).

The spelling of 20413154464020 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-four million, four hundred sixty-four thousand, twenty".