1126665344640 has 384 divisors, whose sum is σ = 4054119874560. Its totient is φ = 265747046400.

The previous prime is 1126665344633. The next prime is 1126665344671. The reversal of 1126665344640 is 464435666211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1126665344640.

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 47 ways as a sum of consecutive naturals, for example, 8530305 + ... + 8661375.

It is an arithmetic number, because the mean of its divisors is an integer number (10557603840).

Almost surely, 2^{1126665344640} is an apocalyptic number.

1126665344640 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 1126665344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027059937280).

1126665344640 is an abundant number, since it is smaller than the sum of its proper divisors (2927454529920).

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

1126665344640 is a wasteful number, since it uses less digits than its factorization.

1126665344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131152 (or 131129 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 1126665344640 in words is "one trillion, one hundred twenty-six billion, six hundred sixty-five million, three hundred forty-four thousand, six hundred forty".