1330120442040 has 192 divisors, whose sum is σ = 4326466089600. Its totient is φ = 326994310656.

The previous prime is 1330120442017. The next prime is 1330120442071. The reversal of 1330120442040 is 402440210331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1330120442040.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15918691 + ... + 16002029.

It is an arithmetic number, because the mean of its divisors is an integer number (22533677550).

Almost surely, 2^{1330120442040} is an apocalyptic number.

1330120442040 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 1330120442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163233044800).

1330120442040 is an abundant number, since it is smaller than the sum of its proper divisors (2996345647560).

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

1330120442040 is a wasteful number, since it uses less digits than its factorization.

1330120442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84166 (or 84149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1330120442040 its reverse (402440210331), we get a palindrome (1732560652371).

The spelling of 1330120442040 in words is "one trillion, three hundred thirty billion, one hundred twenty million, four hundred forty-two thousand, forty".