1072773404424 has 224 divisors, whose sum is σ = 3061226788920. Its totient is φ = 352217714688.

The previous prime is 1072773404393. The next prime is 1072773404441. The reversal of 1072773404424 is 4244043772701.

1072773404424 is a `hidden beast` number, since 10 + 7 + 277 + 340 + 4 + 4 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 839455423524 + 233317980900 = 916218^2 + 483030^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1072773404424.

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 55 ways as a sum of consecutive naturals, for example, 467031244 + ... + 467033540.

Almost surely, 2^{1072773404424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072773404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530613394460).

1072773404424 is an abundant number, since it is smaller than the sum of its proper divisors (1988453384496).

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

1072773404424 is a wasteful number, since it uses less digits than its factorization.

1072773404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 1072773404424 in words is "one trillion, seventy-two billion, seven hundred seventy-three million, four hundred four thousand, four hundred twenty-four".