261914460480 has 672 divisors, whose sum is σ = 958476823200. Its totient is φ = 65544192000.

The previous prime is 261914460421. The next prime is 261914460491. The reversal of 261914460480 is 84064419162.

261914460480 is a `hidden beast` number, since 2 + 61 + 91 + 4 + 460 + 48 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21594890304 + 240319570176 = 146952^2 + 490224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514566466 + ... + 514566974.

Almost surely, 2^261914460480 is an apocalyptic number.

261914460480 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 261914460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479238411600).

261914460480 is an abundant number, since it is smaller than the sum of its proper divisors (696562362720).

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

261914460480 is a wasteful number, since it uses less digits than its factorization.

261914460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 261914460480 in words is "two hundred sixty-one billion, nine hundred fourteen million, four hundred sixty thousand, four hundred eighty".