261434434482 has 192 divisors, whose sum is σ = 681198336000. Its totient is φ = 71586975744.

The previous prime is 261434434453. The next prime is 261434434511. The reversal of 261434434482 is 284434434162.

261434434482 is a `hidden beast` number, since 2 + 61 + 43 + 44 + 34 + 482 = 666.

It is an interprime number because it is at equal distance from previous prime (261434434453) and next prime (261434434511).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43003119 + ... + 43009197.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908000).

Almost surely, 2^261434434482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261434434482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340599168000).

261434434482 is an abundant number, since it is smaller than the sum of its proper divisors (419763901518).

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

261434434482 is a wasteful number, since it uses less digits than its factorization.

261434434482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6702 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 261434434482 in words is "two hundred sixty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred eighty-two".