42018480 has 240 divisors, whose sum is σ = 168783840. Its totient is φ = 9580032.

The previous prime is 42018479. The next prime is 42018503. The reversal of 42018480 is 8481024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105642 + ... + 106038.

It is an arithmetic number, because the mean of its divisors is an integer number (703266).

Almost surely, 2^42018480 is an apocalyptic number.

42018480 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 42018480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84391920).

42018480 is an abundant number, since it is smaller than the sum of its proper divisors (126765360).

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

42018480 is a wasteful number, since it uses less digits than its factorization.

42018480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42018480 is about 6482.1663045621. The cubic root of 42018480 is about 347.6536387373.

The spelling of 42018480 in words is "forty-two million, eighteen thousand, four hundred eighty".