4141400260 has 48 divisors (see below), whose sum is σ = 9242961840. Its totient is φ = 1553285120.

The previous prime is 4141400213. The next prime is 4141400261. The reversal of 4141400260 is 620041414.

It can be written as a sum of positive squares in 8 ways, for example, as 1249924 + 4140150336 = 1118^2 + 64344^2 .

It is a super-2 number, since 2×4141400260² = 34302392227056135200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4141400261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68820 + ... + 114100.

It is an arithmetic number, because the mean of its divisors is an integer number (192561705).

Almost surely, 2^4141400260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141400260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621480920).

4141400260 is an abundant number, since it is smaller than the sum of its proper divisors (5101561580).

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

4141400260 is a wasteful number, since it uses less digits than its factorization.

4141400260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45576 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4141400260 is about 64353.7120918444. The cubic root of 4141400260 is about 1605.8897846074.

Adding to 4141400260 its reverse (620041414), we get a palindrome (4761441674).

The spelling of 4141400260 in words is "four billion, one hundred forty-one million, four hundred thousand, two hundred sixty".