4100908032 has 198 divisors, whose sum is σ = 12827087442. Its totient is φ = 1261338624.

The previous prime is 4100907983. The next prime is 4100908033. The reversal of 4100908032 is 2308090014.

It can be written as a sum of positive squares in 3 ways, for example, as 134931456 + 3965976576 = 11616^2 + 62976^2 .

It is a super-2 number, since 2×4100908032² = 33634893373844226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100907987 and 4100908005.

It is not an unprimeable number, because it can be changed into a prime (4100908033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1556188 + ... + 1558820.

Almost surely, 2^4100908032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413543721).

4100908032 is an abundant number, since it is smaller than the sum of its proper divisors (8726179410).

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

4100908032 is a wasteful number, since it uses less digits than its factorization.

4100908032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4100908032 is about 64038.3325204522. The cubic root of 4100908032 is about 1600.6388115826.

Adding to 4100908032 its reverse (2308090014), we get a palindrome (6408998046).

The spelling of 4100908032 in words is "four billion, one hundred million, nine hundred eight thousand, thirty-two".