1075610241640 has 192 divisors, whose sum is σ = 2802772627200. Its totient is φ = 370489067520.

The previous prime is 1075610241557. The next prime is 1075610241649. The reversal of 1075610241640 is 461420165701.

It is a self number, because there is not a number n which added to its sum of digits gives 1075610241640.

It is not an unprimeable number, because it can be changed into a prime (1075610241649) 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, 11419056 + ... + 11512864.

It is an arithmetic number, because the mean of its divisors is an integer number (14597774100).

Almost surely, 2^{1075610241640} is an apocalyptic number.

1075610241640 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 1075610241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401386313600).

1075610241640 is an abundant number, since it is smaller than the sum of its proper divisors (1727162385560).

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

1075610241640 is a wasteful number, since it uses less digits than its factorization.

1075610241640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93968 (or 93953 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 1075610241640 in words is "one trillion, seventy-five billion, six hundred ten million, two hundred forty-one thousand, six hundred forty".