18130016219040 has 576 divisors, whose sum is σ = 69093583977600. Its totient is φ = 4291970457600.

The previous prime is 18130016219027. The next prime is 18130016219123. The reversal of 18130016219040 is 4091261003181.

18130016219040 is a `hidden beast` number, since 1 + 8 + 1 + 300 + 162 + 190 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18130016218986 and 18130016219004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134239866 + ... + 134374854.

It is an arithmetic number, because the mean of its divisors is an integer number (119954138850).

Almost surely, 2^{18130016219040} is an apocalyptic number.

18130016219040 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 18130016219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546791988800).

18130016219040 is an abundant number, since it is smaller than the sum of its proper divisors (50963567758560).

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

18130016219040 is a wasteful number, since it uses less digits than its factorization.

18130016219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135221 (or 135210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18130016219040 in words is "eighteen trillion, one hundred thirty billion, sixteen million, two hundred nineteen thousand, forty".