4100041440 has 216 divisors, whose sum is σ = 15379620984. Its totient is φ = 993907200.

The previous prime is 4100041327. The next prime is 4100041459. The reversal of 4100041440 is 441400014.

4100041440 = 8607² + 8608² + ... + 8661².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162475 + ... + 186005.

It is an arithmetic number, because the mean of its divisors is an integer number (71201949).

Almost surely, 2^4100041440 is an apocalyptic number.

4100041440 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 4100041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689810492).

4100041440 is an abundant number, since it is smaller than the sum of its proper divisors (11279579544).

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

4100041440 is a wasteful number, since it uses less digits than its factorization.

4100041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23574 (or 23552 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4100041440 is about 64031.5659655455. The cubic root of 4100041440 is about 1600.5260561883.

Adding to 4100041440 its reverse (441400014), we get a palindrome (4541441454).

The spelling of 4100041440 in words is "four billion, one hundred million, forty-one thousand, four hundred forty".