4100312320 has 216 divisors, whose sum is σ = 10991720376. Its totient is φ = 1456766976.

The previous prime is 4100312311. The next prime is 4100312339. The reversal of 4100312320 is 232130014.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 506070016 + 3594242304 = 22496^2 + 59952^2 .

It is a super-2 number, since 2×4100312320² = 33625122243087564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4100312294 and 4100312303.

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, 13994094 + ... + 13994386.

Almost surely, 2^4100312320 is an apocalyptic number.

4100312320 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 4100312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495860188).

4100312320 is an abundant number, since it is smaller than the sum of its proper divisors (6891408056).

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

4100312320 is a wasteful number, since it uses less digits than its factorization.

4100312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4100312320 is about 64033.6811373515. The cubic root of 4100312320 is about 1600.5613030638.

Adding to 4100312320 its reverse (232130014), we get a palindrome (4332442334).

The spelling of 4100312320 in words is "four billion, one hundred million, three hundred twelve thousand, three hundred twenty".