1074405010560 has 512 divisors, whose sum is σ = 4109396889600. Its totient is φ = 233565437952.

The previous prime is 1074405010541. The next prime is 1074405010687. The reversal of 1074405010560 is 650105044701.

It is a super-2 number, since 2×1074405010560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26093349 + ... + 26134491.

It is an arithmetic number, because the mean of its divisors is an integer number (8026165800).

Almost surely, 2^{1074405010560} is an apocalyptic number.

1074405010560 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 1074405010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054698444800).

1074405010560 is an abundant number, since it is smaller than the sum of its proper divisors (3034991879040).

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

1074405010560 is a wasteful number, since it uses less digits than its factorization.

1074405010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41268 (or 41256 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 1074405010560 in words is "one trillion, seventy-four billion, four hundred five million, ten thousand, five hundred sixty".