42018733440 has 192 divisors, whose sum is σ = 145203842160. Its totient is φ = 11196665856.

The previous prime is 42018733439. The next prime is 42018733441. The reversal of 42018733440 is 4433781024.

42018733440 is a `hidden beast` number, since 4 + 2 + 0 + 187 + 33 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (42018733439) and next prime (42018733441).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 42018733395 and 42018733404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42018733441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14208442 + ... + 14211398.

Almost surely, 2^42018733440 is an apocalyptic number.

42018733440 is a gapful number since it is divisible by the number (40) 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 42018733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601921080).

42018733440 is an abundant number, since it is smaller than the sum of its proper divisors (103185108720).

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

42018733440 is a wasteful number, since it uses less digits than its factorization.

42018733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42018733440 in words is "forty-two billion, eighteen million, seven hundred thirty-three thousand, four hundred forty".