261041220000 has 360 divisors, whose sum is σ = 1011960069120. Its totient is φ = 63282240000.

The previous prime is 261041219987. The next prime is 261041220023. The reversal of 261041220000 is 22140162.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1914081 + ... + 2045919.

It is an arithmetic number, because the mean of its divisors is an integer number (2811000192).

Almost surely, 2^261041220000 is an apocalyptic number.

261041220000 is a gapful number since it is divisible by the number (20) 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 261041220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505980034560).

261041220000 is an abundant number, since it is smaller than the sum of its proper divisors (750918849120).

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

261041220000 is a wasteful number, since it uses less digits than its factorization.

261041220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131886 (or 131860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 261041220000 its reverse (22140162), we get a palindrome (261063360162).

The spelling of 261041220000 in words is "two hundred sixty-one billion, forty-one million, two hundred twenty thousand".