4141041408 has 360 divisors, whose sum is σ = 14435807232. Its totient is φ = 1156073472.

The previous prime is 4141041391. The next prime is 4141041409. The reversal of 4141041408 is 8041401414.

4141041408 is a `hidden beast` number, since 414 + 104 + 140 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141041409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6821841 + ... + 6822447.

Almost surely, 2^4141041408 is an apocalyptic number.

4141041408 is a gapful number since it is divisible by the number (48) 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 4141041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217903616).

4141041408 is an abundant number, since it is smaller than the sum of its proper divisors (10294765824).

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

4141041408 is an equidigital number, since it uses as much as digits as its factorization.

4141041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4141041408 is about 64350.9239094514. The cubic root of 4141041408 is about 1605.8433998607.

The spelling of 4141041408 in words is "four billion, one hundred forty-one million, forty-one thousand, four hundred eight".