4104541440 has 216 divisors, whose sum is σ = 14262786720. Its totient is φ = 1089810432.

The previous prime is 4104541439. The next prime is 4104541541. The reversal of 4104541440 is 441454014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259531 + ... + 3260789.

It is an arithmetic number, because the mean of its divisors is an integer number (66031420).

Almost surely, 2^4104541440 is an apocalyptic number.

4104541440 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 4104541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131393360).

4104541440 is an abundant number, since it is smaller than the sum of its proper divisors (10158245280).

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

4104541440 is a wasteful number, since it uses less digits than its factorization.

4104541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4104541440 is about 64066.6952479992. The cubic root of 4104541440 is about 1601.1113944893. Note that the first 3 decimals are identical.

Adding to 4104541440 its reverse (441454014), we get a palindrome (4545995454).

The spelling of 4104541440 in words is "four billion, one hundred four million, five hundred forty-one thousand, four hundred forty".