42142320 has 240 divisors, whose sum is σ = 163998432. Its totient is φ = 9584640.

The previous prime is 42142319. The next prime is 42142327. The reversal of 42142320 is 2324124.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 42142293 and 42142302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134484 + ... + 134796.

Almost surely, 2^42142320 is an apocalyptic number.

42142320 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 42142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81999216).

42142320 is an abundant number, since it is smaller than the sum of its proper divisors (121856112).

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

42142320 is a wasteful number, since it uses less digits than its factorization.

42142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42142320 is about 6491.7116386975. The cubic root of 42142320 is about 347.9948473276.

Adding to 42142320 its reverse (2324124), we get a palindrome (44466444).

The spelling of 42142320 in words is "forty-two million, one hundred forty-two thousand, three hundred twenty".