4100906880 has 384 divisors, whose sum is σ = 16787796480. Its totient is φ = 937101312.

The previous prime is 4100906833. The next prime is 4100906881. The reversal of 4100906880 is 886090014.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100906881) 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, 1086757 + ... + 1090523.

It is an arithmetic number, because the mean of its divisors is an integer number (43718220).

Almost surely, 2^4100906880 is an apocalyptic number.

4100906880 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 4100906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393898240).

4100906880 is an abundant number, since it is smaller than the sum of its proper divisors (12686889600).

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

4100906880 is an equidigital number, since it uses as much as digits as its factorization.

4100906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4100906880 is about 64038.3235258388. The cubic root of 4100906880 is about 1600.6386617023.

Adding to 4100906880 its reverse (886090014), we get a palindrome (4986996894).

The spelling of 4100906880 in words is "four billion, one hundred million, nine hundred six thousand, eight hundred eighty".