1815405940992 has 288 divisors, whose sum is σ = 5554049679360. Its totient is φ = 515672064000.

The previous prime is 1815405940979. The next prime is 1815405941017. The reversal of 1815405940992 is 2990495045181.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091644353 + ... + 1091646015.

It is an arithmetic number, because the mean of its divisors is an integer number (19284894720).

Almost surely, 2^{1815405940992} is an apocalyptic number.

1815405940992 is a gapful number since it is divisible by the number (12) 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 1815405940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777024839680).

1815405940992 is an abundant number, since it is smaller than the sum of its proper divisors (3738643738368).

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

1815405940992 is a wasteful number, since it uses less digits than its factorization.

1815405940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 1815405940992 in words is "one trillion, eight hundred fifteen billion, four hundred five million, nine hundred forty thousand, nine hundred ninety-two".