1126442868480 has 648 divisors, whose sum is σ = 4086322832592. Its totient is φ = 297475670016.

The previous prime is 1126442868479. The next prime is 1126442868533. The reversal of 1126442868480 is 848682446211.

1126442868480 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 42 + 8 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 948982447 + ... + 948983633.

It is an arithmetic number, because the mean of its divisors is an integer number (6306053754).

Almost surely, 2^{1126442868480} is an apocalyptic number.

1126442868480 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 1126442868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043161416296).

1126442868480 is an abundant number, since it is smaller than the sum of its proper divisors (2959879964112).

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

1126442868480 is an frugal number, since it uses more digits than its factorization.

1126442868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 1126442868480 in words is "one trillion, one hundred twenty-six billion, four hundred forty-two million, eight hundred sixty-eight thousand, four hundred eighty".