265241538240 has 448 divisors, whose sum is σ = 1015115673600. Its totient is φ = 57321713664.

The previous prime is 265241538227. The next prime is 265241538241. The reversal of 265241538240 is 42835142562.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 265241538192 and 265241538201.

It is not an unprimeable number, because it can be changed into a prime (265241538241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 74946391 + ... + 74949929.

It is an arithmetic number, because the mean of its divisors is an integer number (2265883200).

Almost surely, 2^265241538240 is an apocalyptic number.

265241538240 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 265241538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507557836800).

265241538240 is an abundant number, since it is smaller than the sum of its proper divisors (749874135360).

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

265241538240 is a wasteful number, since it uses less digits than its factorization.

265241538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 265241538240 in words is "two hundred sixty-five billion, two hundred forty-one million, five hundred thirty-eight thousand, two hundred forty".