4141102896 has 720 divisors, whose sum is σ = 15877555200. Its totient is φ = 996323328.

The previous prime is 4141102859. The next prime is 4141102921. The reversal of 4141102896 is 6982011414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4141102896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52418985 + ... + 52419063.

It is an arithmetic number, because the mean of its divisors is an integer number (22052160).

Almost surely, 2^4141102896 is an apocalyptic number.

4141102896 is a gapful number since it is divisible by the number (46) 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 4141102896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938777600).

4141102896 is an abundant number, since it is smaller than the sum of its proper divisors (11736452304).

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

4141102896 is a wasteful number, since it uses less digits than its factorization.

4141102896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

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

The square root of 4141102896 is about 64351.4016630563. The cubic root of 4141102896 is about 1605.8513479105.

The spelling of 4141102896 in words is "four billion, one hundred forty-one million, one hundred two thousand, eight hundred ninety-six".