42117600 has 288 divisors, whose sum is σ = 164989440. Its totient is φ = 9123840.

The previous prime is 42117587. The next prime is 42117611. The reversal of 42117600 is 671124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386346 + ... + 386454.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 2^42117600 is an apocalyptic number.

42117600 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 42117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

42117600 is an abundant number, since it is smaller than the sum of its proper divisors (122871840).

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

42117600 is a wasteful number, since it uses less digits than its factorization.

42117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 42117600 is about 6489.8073931358. The cubic root of 42117600 is about 347.9267913118.

Adding to 42117600 its reverse (671124), we get a palindrome (42788724).

It can be divided in two parts, 4211 and 7600, that added together give a palindrome (11811).

The spelling of 42117600 in words is "forty-two million, one hundred seventeen thousand, six hundred".