18103127040 has 1056 divisors, whose sum is σ = 73574092800. Its totient is φ = 4087480320.

The previous prime is 18103127033. The next prime is 18103127047. The reversal of 18103127040 is 4072130181.

It is an interprime number because it is at equal distance from previous prime (18103127033) and next prime (18103127047).

It is a junction number, because it is equal to n+sod(n) for n = 18103126995 and 18103127013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18103127047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583971825 + ... + 583971855.

Almost surely, 2^18103127040 is an apocalyptic number.

18103127040 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 18103127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787046400).

18103127040 is an abundant number, since it is smaller than the sum of its proper divisors (55470965760).

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

18103127040 is a wasteful number, since it uses less digits than its factorization.

18103127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 18103127040 in words is "eighteen billion, one hundred three million, one hundred twenty-seven thousand, forty".