21815481130040 has 192 divisors, whose sum is σ = 54378843523200. Its totient is φ = 7870977294336.

The previous prime is 21815481129997. The next prime is 21815481130099. The reversal of 21815481130040 is 4003118451812.

It is a junction number, because it is equal to n+sod(n) for n = 21815481129976 and 21815481130003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51591314 + ... + 52012446.

It is an arithmetic number, because the mean of its divisors is an integer number (283223143350).

Almost surely, 2^{21815481130040} is an apocalyptic number.

21815481130040 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 21815481130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189421761600).

21815481130040 is an abundant number, since it is smaller than the sum of its proper divisors (32563362393160).

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

21815481130040 is a wasteful number, since it uses less digits than its factorization.

21815481130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421346 (or 421329 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

Adding to 21815481130040 its reverse (4003118451812), we get a palindrome (25818599581852).

The spelling of 21815481130040 in words is "twenty-one trillion, eight hundred fifteen billion, four hundred eighty-one million, one hundred thirty thousand, forty".