1070830191744 has 384 divisors, whose sum is σ = 3377608416000. Its totient is φ = 336763008000.

The previous prime is 1070830191737. The next prime is 1070830191749. The reversal of 1070830191744 is 4471910380701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1070830191744² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070830191744.

It is not an unprimeable number, because it can be changed into a prime (1070830191749) 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, 148331367 + ... + 148338585.

It is an arithmetic number, because the mean of its divisors is an integer number (8795855250).

Almost surely, 2^{1070830191744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070830191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688804208000).

1070830191744 is an abundant number, since it is smaller than the sum of its proper divisors (2306778224256).

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

1070830191744 is an equidigital number, since it uses as much as digits as its factorization.

1070830191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1070830191744 in words is "one trillion, seventy billion, eight hundred thirty million, one hundred ninety-one thousand, seven hundred forty-four".