1073036450304 has 800 divisors, whose sum is σ = 3969120710016. Its totient is φ = 281040814080.

The previous prime is 1073036450273. The next prime is 1073036450357. The reversal of 1073036450304 is 4030546303701.

1073036450304 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 3 + 645 + 0 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 592509559 + ... + 592511369.

Almost surely, 2^{1073036450304} is an apocalyptic number.

1073036450304 is a gapful number since it is divisible by the number (14) 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 1073036450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984560355008).

1073036450304 is an abundant number, since it is smaller than the sum of its proper divisors (2896084259712).

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

1073036450304 is a wasteful number, since it uses less digits than its factorization.

1073036450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 1073036450304 in words is "one trillion, seventy-three billion, thirty-six million, four hundred fifty thousand, three hundred four".