1131758221440 has 1536 divisors, whose sum is σ = 4728328058880. Its totient is φ = 227598336000.

The previous prime is 1131758221417. The next prime is 1131758221457. The reversal of 1131758221440 is 441228571311.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5363782935 + ... + 5363783145.

It is an arithmetic number, because the mean of its divisors is an integer number (3078338580).

Almost surely, 2^{1131758221440} is an apocalyptic number.

1131758221440 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 1131758221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364164029440).

1131758221440 is an abundant number, since it is smaller than the sum of its proper divisors (3596569837440).

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

1131758221440 is a wasteful number, since it uses less digits than its factorization.

1131758221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 1131758221440 in words is "one trillion, one hundred thirty-one billion, seven hundred fifty-eight million, two hundred twenty-one thousand, four hundred forty".