1071062410880 has 256 divisors, whose sum is σ = 3266568898560. Its totient is φ = 326073323520.

The previous prime is 1071062410829. The next prime is 1071062410939. The reversal of 1071062410880 is 880142601701.

It is a happy number.

It is a super-2 number, since 2×1071062410880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1866317 + ... + 2371763.

It is an arithmetic number, because the mean of its divisors is an integer number (12760034760).

Almost surely, 2^{1071062410880} is an apocalyptic number.

1071062410880 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 1071062410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633284449280).

1071062410880 is an abundant number, since it is smaller than the sum of its proper divisors (2195506487680).

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

1071062410880 is a wasteful number, since it uses less digits than its factorization.

1071062410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505527 (or 505515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 1071062410880 in words is "one trillion, seventy-one billion, sixty-two million, four hundred ten thousand, eight hundred eighty".