1075494205440 has 576 divisors, whose sum is σ = 3923826641280. Its totient is φ = 282474086400.

The previous prime is 1075494205417. The next prime is 1075494205441. The reversal of 1075494205440 is 445024945701.

1075494205440 is a `hidden beast` number, since 1 + 0 + 75 + 494 + 2 + 0 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075494205441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 166714215 + ... + 166720665.

It is an arithmetic number, because the mean of its divisors is an integer number (6812199030).

Almost surely, 2^{1075494205440} is an apocalyptic number.

1075494205440 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 1075494205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961913320640).

1075494205440 is an abundant number, since it is smaller than the sum of its proper divisors (2848332435840).

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

1075494205440 is an frugal number, since it uses more digits than its factorization.

1075494205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1075494205440 in words is "one trillion, seventy-five billion, four hundred ninety-four million, two hundred five thousand, four hundred forty".