4412421600 has 144 divisors (see below), whose sum is σ = 14444075520. Its totient is φ = 1169958400.

The previous prime is 4412421583. The next prime is 4412421647. The reversal of 4412421600 is 61242144.

It is a happy number.

It is a super-2 number, since 2×4412421600² = 38938928752293120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 424465 + ... + 434735.

It is an arithmetic number, because the mean of its divisors is an integer number (100306080).

Almost surely, 2^4412421600 is an apocalyptic number.

4412421600 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 4412421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222037760).

4412421600 is an abundant number, since it is smaller than the sum of its proper divisors (10031653920).

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

4412421600 is a wasteful number, since it uses less digits than its factorization.

4412421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4412421600 is about 66426.0611507261. The cubic root of 4412421600 is about 1640.1831046797.

Adding to 4412421600 its reverse (61242144), we get a palindrome (4473663744).

The spelling of 4412421600 in words is "four billion, four hundred twelve million, four hundred twenty-one thousand, six hundred".