1077334073344 has 56 divisors (see below), whose sum is σ = 2170985643288. Its totient is φ = 534554542080.

The previous prime is 1077334073339. The next prime is 1077334073369. The reversal of 1077334073344 is 4433704337701.

It is a junction number, because it is equal to n+sod(n) for n = 1077334073294 and 1077334073303.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 571204 + ... + 1575100.

It is an arithmetic number, because the mean of its divisors is an integer number (38767600773).

Almost surely, 2^{1077334073344} 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 1077334073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085492821644).

1077334073344 is an abundant number, since it is smaller than the sum of its proper divisors (1093651569944).

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

1077334073344 is an equidigital number, since it uses as much as digits as its factorization.

1077334073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004054 (or 1004030 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 46.

The spelling of 1077334073344 in words is "one trillion, seventy-seven billion, three hundred thirty-four million, seventy-three thousand, three hundred forty-four".