18040028805120 has 768 divisors, whose sum is σ = 67112226155520. Its totient is φ = 4051873824768.

The previous prime is 18040028805059. The next prime is 18040028805143. The reversal of 18040028805120 is 2150882004081.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×18040028805120³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3444723142 + ... + 3444728378.

It is an arithmetic number, because the mean of its divisors is an integer number (87385711140).

Almost surely, 2^{18040028805120} is an apocalyptic number.

18040028805120 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 18040028805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556113077760).

18040028805120 is an abundant number, since it is smaller than the sum of its proper divisors (49072197350400).

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

18040028805120 is a wasteful number, since it uses less digits than its factorization.

18040028805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 18040028805120 in words is "eighteen trillion, forty billion, twenty-eight million, eight hundred five thousand, one hundred twenty".