265460509440 has 2304 divisors, whose sum is σ = 1235740262400. Its totient is φ = 53210234880.

The previous prime is 265460509429. The next prime is 265460509477. The reversal of 265460509440 is 44905064562.

265460509440 is a `hidden beast` number, since 2 + 65 + 46 + 0 + 509 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×265460509440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8563242225 + ... + 8563242255.

It is an arithmetic number, because the mean of its divisors is an integer number (536345600).

Almost surely, 2^265460509440 is an apocalyptic number.

265460509440 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 265460509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617870131200).

265460509440 is an abundant number, since it is smaller than the sum of its proper divisors (970279752960).

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

265460509440 is an equidigital number, since it uses as much as digits as its factorization.

265460509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 265460509440 in words is "two hundred sixty-five billion, four hundred sixty million, five hundred nine thousand, four hundred forty".