1126441817280 has 1344 divisors, whose sum is σ = 4425022562688. Its totient is φ = 261174067200.

The previous prime is 1126441817231. The next prime is 1126441817311. The reversal of 1126441817280 is 827181446211.

1126441817280 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 418 + 172 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11152889230 + ... + 11152889330.

It is an arithmetic number, because the mean of its divisors is an integer number (3292427502).

Almost surely, 2^{1126441817280} is an apocalyptic number.

1126441817280 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 1126441817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212511281344).

1126441817280 is an abundant number, since it is smaller than the sum of its proper divisors (3298580745408).

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

1126441817280 is a wasteful number, since it uses less digits than its factorization.

1126441817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1126441817280 in words is "one trillion, one hundred twenty-six billion, four hundred forty-one million, eight hundred seventeen thousand, two hundred eighty".