4201324600 has 96 divisors (see below), whose sum is σ = 11000010240. Its totient is φ = 1478448000.

The previous prime is 4201324591. The next prime is 4201324613. The reversal of 4201324600 is 64231024.

It is a happy number.

It is a super-2 number, since 2×4201324600² = 35302256789130320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 37399 + ... + 99001.

It is an arithmetic number, because the mean of its divisors is an integer number (114583440).

Almost surely, 2^4201324600 is an apocalyptic number.

4201324600 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 4201324600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500005120).

4201324600 is an abundant number, since it is smaller than the sum of its proper divisors (6798685640).

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

4201324600 is a wasteful number, since it uses less digits than its factorization.

4201324600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61661 (or 61652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4201324600 is about 64817.6256893139. The cubic root of 4201324600 is about 1613.5982430842.

Adding to 4201324600 its reverse (64231024), we get a palindrome (4265555624).

The spelling of 4201324600 in words is "four billion, two hundred one million, three hundred twenty-four thousand, six hundred".