42321600 has 126 divisors (see below), whose sum is σ = 150472140. Its totient is φ = 11281920.

The previous prime is 42321581. The next prime is 42321611. The reversal of 42321600 is 612324.

It is a happy number.

42321600 is a `hidden beast` number, since 42 + 3 + 21 + 600 = 666.

It is a super-2 number, since 2×42321600² = 3582235653120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12931 + ... + 15869.

Almost surely, 2^42321600 is an apocalyptic number.

42321600 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 42321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75236070).

42321600 is an abundant number, since it is smaller than the sum of its proper divisors (108150540).

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

42321600 is a wasteful number, since it uses less digits than its factorization.

42321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42321600 is about 6505.5053608463. The cubic root of 42321600 is about 348.4876239835.

Adding to 42321600 its reverse (612324), we get a palindrome (42933924).

It can be divided in two parts, 4232 and 1600, that added together give a cube (5832 = 18³).

The spelling of 42321600 in words is "forty-two million, three hundred twenty-one thousand, six hundred".