18042186240 has 960 divisors, whose sum is σ = 73568791296. Its totient is φ = 4204265472.

The previous prime is 18042186221. The next prime is 18042186259. The reversal of 18042186240 is 4268124081.

18042186240 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 21 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18042186221) and next prime (18042186259).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 18042186195 and 18042186204.

It is a congruent number.

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, 186001872 + ... + 186001968.

Almost surely, 2^18042186240 is an apocalyptic number.

18042186240 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 18042186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36784395648).

18042186240 is an abundant number, since it is smaller than the sum of its proper divisors (55526605056).

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

18042186240 is an equidigital number, since it uses as much as digits as its factorization.

18042186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18042186240 in words is "eighteen billion, forty-two million, one hundred eighty-six thousand, two hundred forty".