261071040384 has 1440 divisors, whose sum is σ = 1032954310080. Its totient is φ = 65144217600.

The previous prime is 261071040379. The next prime is 261071040407. The reversal of 261071040384 is 483040170162.

261071040384 is a `hidden beast` number, since 2 + 610 + 7 + 1 + 0 + 4 + 0 + 38 + 4 = 666.

261071040384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1905627964 + ... + 1905628100.

It is an arithmetic number, because the mean of its divisors is an integer number (717329382).

Almost surely, 2^261071040384 is an apocalyptic number.

261071040384 is a gapful number since it is divisible by the number (24) 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 261071040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516477155040).

261071040384 is an abundant number, since it is smaller than the sum of its proper divisors (771883269696).

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

261071040384 is a wasteful number, since it uses less digits than its factorization.

261071040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 261071040384 in words is "two hundred sixty-one billion, seventy-one million, forty thousand, three hundred eighty-four".