260331236440704 has 960 divisors, whose sum is σ = 917813095353000. Its totient is φ = 72761821102080.

The previous prime is 260331236440607. The next prime is 260331236440747. The reversal of 260331236440704 is 407044632133062.

260331236440704 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 3 + 1 + 236 + 4 + 407 + 0 + 4 = 666.

260331236440704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76161366794304 + 184169869646400 = 8727048^2 + 13570920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 260331236440704.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22979183712 + ... + 22979195040.

Almost surely, 2^{260331236440704} is an apocalyptic number.

260331236440704 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 260331236440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458906547676500).

260331236440704 is an abundant number, since it is smaller than the sum of its proper divisors (657481858912296).

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

260331236440704 is a wasteful number, since it uses less digits than its factorization.

260331236440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

Adding to 260331236440704 its reverse (407044632133062), we get a palindrome (667375868573766).

The spelling of 260331236440704 in words is "two hundred sixty trillion, three hundred thirty-one billion, two hundred thirty-six million, four hundred forty thousand, seven hundred four".