265241845440 has 1344 divisors, whose sum is σ = 1115791552512. Its totient is φ = 56976998400.

The previous prime is 265241845409. The next prime is 265241845447. The reversal of 265241845440 is 44548142562.

265241845440 is a `hidden beast` number, since 2 + 6 + 5 + 24 + 1 + 84 + 544 + 0 = 666.

265241845440 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 (265241845447) 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 191 ways as a sum of consecutive naturals, for example, 1374309984 + ... + 1374310176.

It is an arithmetic number, because the mean of its divisors is an integer number (830202048).

Almost surely, 2^265241845440 is an apocalyptic number.

265241845440 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 265241845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557895776256).

265241845440 is an abundant number, since it is smaller than the sum of its proper divisors (850549707072).

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

265241845440 is a wasteful number, since it uses less digits than its factorization.

265241845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 265241845440 in words is "two hundred sixty-five billion, two hundred forty-one million, eight hundred forty-five thousand, four hundred forty".