1034771530464 has 216 divisors, whose sum is σ = 3424233529080. Its totient is φ = 295547761152.

The previous prime is 1034771530447. The next prime is 1034771530483. The reversal of 1034771530464 is 4640351774301.

1034771530464 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 7 + 71 + 530 + 46 + 4 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 47588907 + ... + 47610645.

It is an arithmetic number, because the mean of its divisors is an integer number (15852933005).

Almost surely, 2^{1034771530464} is an apocalyptic number.

1034771530464 is a gapful number since it is divisible by the number (14) 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 1034771530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712116764540).

1034771530464 is an abundant number, since it is smaller than the sum of its proper divisors (2389461998616).

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

1034771530464 is a wasteful number, since it uses less digits than its factorization.

1034771530464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25142 (or 25124 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1034771530464 in words is "one trillion, thirty-four billion, seven hundred seventy-one million, five hundred thirty thousand, four hundred sixty-four".