42010540 has 96 divisors (see below), whose sum is σ = 106714944. Its totient is φ = 13685760.

The previous prime is 42010523. The next prime is 42010567. The reversal of 42010540 is 4501024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105622 + ... + 106018.

It is an arithmetic number, because the mean of its divisors is an integer number (1111614).

Almost surely, 2^42010540 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 42010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357472).

42010540 is an abundant number, since it is smaller than the sum of its proper divisors (64704404).

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

42010540 is a wasteful number, since it uses less digits than its factorization.

42010540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 42010540 is about 6481.5538260513. The cubic root of 42010540 is about 347.6317392954.

Adding to 42010540 its reverse (4501024), we get a palindrome (46511564).

It can be divided in two parts, 420 and 10540, that multiplied together give a triangular number (4426800 = T₂₉₇₅).

The spelling of 42010540 in words is "forty-two million, ten thousand, five hundred forty".