20404351552240 has 80 divisors (see below), whose sum is σ = 47888430837120. Its totient is φ = 8084627191040.

The previous prime is 20404351552103. The next prime is 20404351552243. The reversal of 20404351552240 is 4225515340402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×20404351552240³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20404351552240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404351552243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86260851 + ... + 86497069.

It is an arithmetic number, because the mean of its divisors is an integer number (598605385464).

Almost surely, 2^{20404351552240} is an apocalyptic number.

20404351552240 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 20404351552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944215418560).

20404351552240 is an abundant number, since it is smaller than the sum of its proper divisors (27484079284880).

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

20404351552240 is a wasteful number, since it uses less digits than its factorization.

20404351552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246430 (or 246424 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 20404351552240 its reverse (4225515340402), we get a palindrome (24629866892642).

The spelling of 20404351552240 in words is "twenty trillion, four hundred four billion, three hundred fifty-one million, five hundred fifty-two thousand, two hundred forty".