1071145336320 has 480 divisors, whose sum is σ = 3862418994720. Its totient is φ = 274005688320.

The previous prime is 1071145336301. The next prime is 1071145336321. The reversal of 1071145336320 is 236335411701.

1071145336320 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 14 + 5 + 3 + 3 + 632 + 0 = 666.

1071145336320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1071145336320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071145336321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104896015 + ... + 104906225.

It is an arithmetic number, because the mean of its divisors is an integer number (8046706239).

Almost surely, 2^{1071145336320} is an apocalyptic number.

1071145336320 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 1071145336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931209497360).

1071145336320 is an abundant number, since it is smaller than the sum of its proper divisors (2791273658400).

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

1071145336320 is a wasteful number, since it uses less digits than its factorization.

1071145336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1071145336320 in words is "one trillion, seventy-one billion, one hundred forty-five million, three hundred thirty-six thousand, three hundred twenty".