1070956170240 has 528 divisors, whose sum is σ = 3782415813120. Its totient is φ = 258432204800.

The previous prime is 1070956170197. The next prime is 1070956170257. The reversal of 1070956170240 is 420716590701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1070956170240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070956170192 and 1070956170201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444194635 + ... + 444197045.

Almost surely, 2^{1070956170240} is an apocalyptic number.

1070956170240 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 1070956170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891207906560).

1070956170240 is an abundant number, since it is smaller than the sum of its proper divisors (2711459642880).

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

1070956170240 is a wasteful number, since it uses less digits than its factorization.

1070956170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 1070956170240 in words is "one trillion, seventy billion, nine hundred fifty-six million, one hundred seventy thousand, two hundred forty".