1149191271280 has 320 divisors, whose sum is σ = 3055934407680. Its totient is φ = 398407680000.

The previous prime is 1149191271271. The next prime is 1149191271323. The reversal of 1149191271280 is 821721919411.

It is a super-2 number, since 2×1149191271280² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1149191271280.

It is a congruent number.

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, 1304416440 + ... + 1304417320.

It is an arithmetic number, because the mean of its divisors is an integer number (9549795024).

Almost surely, 2^{1149191271280} is an apocalyptic number.

1149191271280 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 1149191271280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527967203840).

1149191271280 is an abundant number, since it is smaller than the sum of its proper divisors (1906743136400).

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

1149191271280 is a wasteful number, since it uses less digits than its factorization.

1149191271280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 46.

The spelling of 1149191271280 in words is "one trillion, one hundred forty-nine billion, one hundred ninety-one million, two hundred seventy-one thousand, two hundred eighty".