261923742432 has 288 divisors, whose sum is σ = 875225070720. Its totient is φ = 73444008960.

The previous prime is 261923742419. The next prime is 261923742433. The reversal of 261923742432 is 234247329162.

261923742432 is a `hidden beast` number, since 2 + 6 + 192 + 3 + 7 + 424 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261923742433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2537658 + ... + 2638854.

It is an arithmetic number, because the mean of its divisors is an integer number (3038975940).

Almost surely, 2^261923742432 is an apocalyptic number.

261923742432 is a gapful number since it is divisible by the number (22) 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 261923742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437612535360).

261923742432 is an abundant number, since it is smaller than the sum of its proper divisors (613301328288).

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

261923742432 is a wasteful number, since it uses less digits than its factorization.

261923742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101286 (or 101275 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 261923742432 in words is "two hundred sixty-one billion, nine hundred twenty-three million, seven hundred forty-two thousand, four hundred thirty-two".