265832461440 has 1280 divisors, whose sum is σ = 1200779838720. Its totient is φ = 54536011776.

The previous prime is 265832461397. The next prime is 265832461441. The reversal of 265832461440 is 44164238562.

265832461440 is a `hidden beast` number, since 2 + 6 + 5 + 8 + 3 + 24 + 614 + 4 + 0 = 666.

265832461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (265832461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174544519 + ... + 174546041.

It is an arithmetic number, because the mean of its divisors is an integer number (938109249).

Almost surely, 2^265832461440 is an apocalyptic number.

265832461440 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 265832461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600389919360).

265832461440 is an abundant number, since it is smaller than the sum of its proper divisors (934947377280).

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

265832461440 is a wasteful number, since it uses less digits than its factorization.

265832461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 265832461440 in words is "two hundred sixty-five billion, eight hundred thirty-two million, four hundred sixty-one thousand, four hundred forty".