1149002069280 has 384 divisors, whose sum is σ = 4235279892480. Its totient is φ = 259301191680.

The previous prime is 1149002069273. The next prime is 1149002069329. The reversal of 1149002069280 is 829602009411.

It is an unprimeable number.

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, 3519049 + ... + 3831671.

It is an arithmetic number, because the mean of its divisors is an integer number (11029374720).

Almost surely, 2^{1149002069280} is an apocalyptic number.

1149002069280 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 1149002069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117639946240).

1149002069280 is an abundant number, since it is smaller than the sum of its proper divisors (3086277823200).

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

1149002069280 is a wasteful number, since it uses less digits than its factorization.

1149002069280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312704 (or 312696 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 1149002069280 in words is "one trillion, one hundred forty-nine billion, two million, sixty-nine thousand, two hundred eighty".