1126725133440 has 1024 divisors, whose sum is σ = 3978450432000. Its totient is φ = 270439809024.

The previous prime is 1126725133433. The next prime is 1126725133489. The reversal of 1126725133440 is 443315276211.

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 127 ways as a sum of consecutive naturals, for example, 9971018824 + ... + 9971018936.

It is an arithmetic number, because the mean of its divisors is an integer number (3885205500).

Almost surely, 2^{1126725133440} is an apocalyptic number.

1126725133440 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 1126725133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989225216000).

1126725133440 is an abundant number, since it is smaller than the sum of its proper divisors (2851725298560).

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

1126725133440 is a wasteful number, since it uses less digits than its factorization.

1126725133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 1126725133440 in words is "one trillion, one hundred twenty-six billion, seven hundred twenty-five million, one hundred thirty-three thousand, four hundred forty".