42142520 has 64 divisors (see below), whose sum is σ = 110246400. Its totient is φ = 14198400.

The previous prime is 42142517. The next prime is 42142543. The reversal of 42142520 is 2524124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42142492 and 42142501.

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, 15245 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (1722600).

Almost surely, 2^42142520 is an apocalyptic number.

42142520 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 42142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55123200).

42142520 is an abundant number, since it is smaller than the sum of its proper divisors (68103880).

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

42142520 is a wasteful number, since it uses less digits than its factorization.

42142520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 42142520 is about 6491.7270429370. The cubic root of 42142520 is about 347.9953978341.

Adding to 42142520 its reverse (2524124), we get a palindrome (44666644).

The spelling of 42142520 in words is "forty-two million, one hundred forty-two thousand, five hundred twenty".