1075045662240 has 192 divisors, whose sum is σ = 3695176195200. Its totient is φ = 260551639040.

The previous prime is 1075045662239. The next prime is 1075045662277. The reversal of 1075045662240 is 422665405701.

It is a junction number, because it is equal to n+sod(n) for n = 1075045662192 and 1075045662201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22939312 + ... + 22986128.

It is an arithmetic number, because the mean of its divisors is an integer number (19245709350).

Almost surely, 2^{1075045662240} is an apocalyptic number.

1075045662240 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 1075045662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847588097600).

1075045662240 is an abundant number, since it is smaller than the sum of its proper divisors (2620130532960).

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

1075045662240 is a wasteful number, since it uses less digits than its factorization.

1075045662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51195 (or 51187 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 1075045662240 in words is "one trillion, seventy-five billion, forty-five million, six hundred sixty-two thousand, two hundred forty".