42111600 has 120 divisors (see below), whose sum is σ = 142074240. Its totient is φ = 10632960.

The previous prime is 42111593. The next prime is 42111611. The reversal of 42111600 is 611124.

It is a tau number, because it is divible by the number of its divisors (120).

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 42111600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21877 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (1183952).

Almost surely, 2^42111600 is an apocalyptic number.

42111600 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 42111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71037120).

42111600 is an abundant number, since it is smaller than the sum of its proper divisors (99962640).

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

42111600 is a wasteful number, since it uses less digits than its factorization.

42111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 42111600 is about 6489.3451133377. The cubic root of 42111600 is about 347.9102688454.

Adding to 42111600 its reverse (611124), we get a palindrome (42722724).

It can be divided in two parts, 421 and 11600, that added together give a palindrome (12021).

The spelling of 42111600 in words is "forty-two million, one hundred eleven thousand, six hundred".