4100008320 has 384 divisors, whose sum is σ = 15444064800. Its totient is φ = 1027768320.

The previous prime is 4100008307. The next prime is 4100008321. The reversal of 4100008320 is 238000014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 4100008293 and 4100008302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100008321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4993510 + ... + 4994330.

Almost surely, 2^4100008320 is an apocalyptic number.

4100008320 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 4100008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722032400).

4100008320 is an abundant number, since it is smaller than the sum of its proper divisors (11344056480).

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

4100008320 is a wasteful number, since it uses less digits than its factorization.

4100008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4100008320 is about 64031.3073425805. The cubic root of 4100008320 is about 1600.5217465110.

Adding to 4100008320 its reverse (238000014), we get a palindrome (4338008334).

The spelling of 4100008320 in words is "four billion, one hundred million, eight thousand, three hundred twenty".