1065825595440 has 240 divisors, whose sum is σ = 3736555130880. Its totient is φ = 271751293440.

The previous prime is 1065825595409. The next prime is 1065825595447. The reversal of 1065825595440 is 445955285601.

1065825595440 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 8 + 2 + 5 + 595 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1065825595440² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065825595447) 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 47 ways as a sum of consecutive naturals, for example, 45014805 + ... + 45038475.

It is an arithmetic number, because the mean of its divisors is an integer number (15568979712).

Almost surely, 2^{1065825595440} is an apocalyptic number.

1065825595440 is a gapful number since it is divisible by the number (10) 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 1065825595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868277565440).

1065825595440 is an abundant number, since it is smaller than the sum of its proper divisors (2670729535440).

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

1065825595440 is a wasteful number, since it uses less digits than its factorization.

1065825595440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26423 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 1065825595440 in words is "one trillion, sixty-five billion, eight hundred twenty-five million, five hundred ninety-five thousand, four hundred forty".