261441414 has 96 divisors (see below), whose sum is σ = 657506304. Its totient is φ = 74416320.

The previous prime is 261441413. The next prime is 261441431. The reversal of 261441414 is 414144162.

261441414 is a `hidden beast` number, since 2 + 614 + 4 + 1 + 41 + 4 = 666.

261441414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261441414² = 136703225908638792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261441413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166059 + ... + 167625.

It is an arithmetic number, because the mean of its divisors is an integer number (6849024).

Almost surely, 2^261441414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261441414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328753152).

261441414 is an abundant number, since it is smaller than the sum of its proper divisors (396064890).

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

261441414 is a wasteful number, since it uses less digits than its factorization.

261441414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 261441414 is about 16169.1500704273. The cubic root of 261441414 is about 639.4277224808.

Adding to 261441414 its reverse (414144162), we get a palindrome (675585576).

The spelling of 261441414 in words is "two hundred sixty-one million, four hundred forty-one thousand, four hundred fourteen".