42111420 has 72 divisors (see below), whose sum is σ = 127710576. Its totient is φ = 10363392.

The previous prime is 42111409. The next prime is 42111473. The reversal of 42111420 is 2411124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42111420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8064 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (1773758).

Almost surely, 2^42111420 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 42111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63855288).

42111420 is an abundant number, since it is smaller than the sum of its proper divisors (85599156).

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

42111420 is a wasteful number, since it uses less digits than its factorization.

42111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42111420 is about 6489.3312444350. The cubic root of 42111420 is about 347.9097731472.

Adding to 42111420 its reverse (2411124), we get a palindrome (44522544).

The spelling of 42111420 in words is "forty-two million, one hundred eleven thousand, four hundred twenty".