18112429440 has 1280 divisors, whose sum is σ = 81042508800. Its totient is φ = 3762339840.

The previous prime is 18112429429. The next prime is 18112429463. The reversal of 18112429440 is 4492421181.

18112429440 is a `hidden beast` number, since 181 + 12 + 4 + 29 + 440 = 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 = 18112429395 and 18112429404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255104605 + ... + 255104675.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 2^18112429440 is an apocalyptic number.

18112429440 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 18112429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40521254400).

18112429440 is an abundant number, since it is smaller than the sum of its proper divisors (62930079360).

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

18112429440 is a wasteful number, since it uses less digits than its factorization.

18112429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18112429440 in words is "eighteen billion, one hundred twelve million, four hundred twenty-nine thousand, four hundred forty".