12821531620040 has 192 divisors, whose sum is σ = 34177461721200. Its totient is φ = 4300098232320.

The previous prime is 12821531620021. The next prime is 12821531620043. The reversal of 12821531620040 is 4002613512821.

It can be written as a sum of positive squares in 8 ways, for example, as 1992575035396 + 10828956584644 = 1411586^2 + 3290738^2 .

It is not an unprimeable number, because it can be changed into a prime (12821531620043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74978156 + ... + 75148964.

Almost surely, 2^{12821531620040} is an apocalyptic number.

12821531620040 is a gapful number since it is divisible by the number (10) 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 12821531620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088730860600).

12821531620040 is an abundant number, since it is smaller than the sum of its proper divisors (21355930101160).

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

12821531620040 is a wasteful number, since it uses less digits than its factorization.

12821531620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172048 (or 172033 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 12821531620040 in words is "twelve trillion, eight hundred twenty-one billion, five hundred thirty-one million, six hundred twenty thousand, forty".