42042480 has 80 divisors (see below), whose sum is σ = 131003520. Its totient is φ = 11153664.

The previous prime is 42042439. The next prime is 42042491. The reversal of 42042480 is 8424024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42042480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67611 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (1637544).

Almost surely, 2^42042480 is an apocalyptic number.

42042480 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 42042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65501760).

42042480 is an abundant number, since it is smaller than the sum of its proper divisors (88961040).

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

42042480 is a wasteful number, since it uses less digits than its factorization.

42042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42042480 is about 6484.0172732651. The cubic root of 42042480 is about 347.7198167559.

The spelling of 42042480 in words is "forty-two million, forty-two thousand, four hundred eighty".