261270273116440 has 128 divisors (see below), whose sum is σ = 681360792606720. Its totient is φ = 88308876902400.

The previous prime is 261270273116431. The next prime is 261270273116441. The reversal of 261270273116440 is 44611372072162.

It is a happy number.

It is a super-3 number, since 3×261270273116440³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261270273116441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225716760 + ... + 226871320.

It is an arithmetic number, because the mean of its divisors is an integer number (5323131192240).

Almost surely, 2^{261270273116440} is an apocalyptic number.

261270273116440 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 261270273116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340680396303360).

261270273116440 is an abundant number, since it is smaller than the sum of its proper divisors (420090519490280).

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

261270273116440 is a wasteful number, since it uses less digits than its factorization.

261270273116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166033 (or 1166029 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 261270273116440 in words is "two hundred sixty-one trillion, two hundred seventy billion, two hundred seventy-three million, one hundred sixteen thousand, four hundred forty".