1034107070080 has 192 divisors, whose sum is σ = 3000816564480. Its totient is φ = 339135498240.

The previous prime is 1034107070077. The next prime is 1034107070083. The reversal of 1034107070080 is 800707014301.

It is an interprime number because it is at equal distance from previous prime (1034107070077) and next prime (1034107070083).

It is not an unprimeable number, because it can be changed into a prime (1034107070083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4425 + ... + 1438135.

It is an arithmetic number, because the mean of its divisors is an integer number (15629252940).

Almost surely, 2^{1034107070080} is an apocalyptic number.

1034107070080 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 1034107070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500408282240).

1034107070080 is an abundant number, since it is smaller than the sum of its proper divisors (1966709494400).

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

1034107070080 is a wasteful number, since it uses less digits than its factorization.

1034107070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433767 (or 1433748 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 1034107070080 in words is "one trillion, thirty-four billion, one hundred seven million, seventy thousand, eighty".