1165729488240 has 320 divisors, whose sum is σ = 3862581350400. Its totient is φ = 290187878400.

The previous prime is 1165729488233. The next prime is 1165729488247. The reversal of 1165729488240 is 428849275611.

It is an interprime number because it is at equal distance from previous prime (1165729488233) and next prime (1165729488247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165729488247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330326796 + ... + 330330324.

It is an arithmetic number, because the mean of its divisors is an integer number (12070566720).

Almost surely, 2^{1165729488240} is an apocalyptic number.

1165729488240 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 1165729488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931290675200).

1165729488240 is an abundant number, since it is smaller than the sum of its proper divisors (2696851862160).

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

1165729488240 is a wasteful number, since it uses less digits than its factorization.

1165729488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 1165729488240 in words is "one trillion, one hundred sixty-five billion, seven hundred twenty-nine million, four hundred eighty-eight thousand, two hundred forty".