42120540 has 192 divisors, whose sum is σ = 163537920. Its totient is φ = 8743680.

The previous prime is 42120523. The next prime is 42120563. The reversal of 42120540 is 4502124.

42120540 is a `hidden beast` number, since 4 + 2 + 120 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41074 + ... + 42086.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^42120540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

42120540 is an abundant number, since it is smaller than the sum of its proper divisors (121417380).

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

42120540 is a wasteful number, since it uses less digits than its factorization.

42120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42120540 is about 6490.0338982166. The cubic root of 42120540 is about 347.9348867475.

Adding to 42120540 its reverse (4502124), we get a palindrome (46622664).

The spelling of 42120540 in words is "forty-two million, one hundred twenty thousand, five hundred forty".