4100506880 has 72 divisors (see below), whose sum is σ = 9859336200. Its totient is φ = 1633968128.

The previous prime is 4100506873. The next prime is 4100506897. The reversal of 4100506880 is 886050014.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 4098048256 = 1568^2 + 64016^2 .

It is a super-3 number, since 3×4100506880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338366 + ... + 350274.

It is an arithmetic number, because the mean of its divisors is an integer number (136935225).

Almost surely, 2^4100506880 is an apocalyptic number.

4100506880 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 4100506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929668100).

4100506880 is an abundant number, since it is smaller than the sum of its proper divisors (5758829320).

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

4100506880 is a wasteful number, since it uses less digits than its factorization.

4100506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 4100506880 is about 64035.2003198241. The cubic root of 4100506880 is about 1600.5866182315.

Adding to 4100506880 its reverse (886050014), we get a palindrome (4986556894).

The spelling of 4100506880 in words is "four billion, one hundred million, five hundred six thousand, eight hundred eighty".