4100244320 has 144 divisors (see below), whose sum is σ = 10089896544. Its totient is φ = 1574092800.

The previous prime is 4100244307. The next prime is 4100244341. The reversal of 4100244320 is 234420014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4100244292 and 4100244301.

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, 42270512 + ... + 42270608.

It is an arithmetic number, because the mean of its divisors is an integer number (70068726).

Almost surely, 2^4100244320 is an apocalyptic number.

4100244320 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 4100244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044948272).

4100244320 is an abundant number, since it is smaller than the sum of its proper divisors (5989652224).

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

4100244320 is an equidigital number, since it uses as much as digits as its factorization.

4100244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4100244320 is about 64033.1501645827. The cubic root of 4100244320 is about 1600.5524550573.

Adding to 4100244320 its reverse (234420014), we get a palindrome (4334664334).

The spelling of 4100244320 in words is "four billion, one hundred million, two hundred forty-four thousand, three hundred twenty".