1034812717920 has 192 divisors, whose sum is σ = 3628967832000. Its totient is φ = 275407331328.

The previous prime is 1034812717919. The next prime is 1034812717943. The reversal of 1034812717920 is 297172184301.

1034812717920 is a `hidden beast` number, since 10 + 3 + 481 + 2 + 71 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×1034812717920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1963576 + ... + 2434184.

It is an arithmetic number, because the mean of its divisors is an integer number (18900874125).

Almost surely, 2^{1034812717920} is an apocalyptic number.

1034812717920 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 1034812717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814483916000).

1034812717920 is an abundant number, since it is smaller than the sum of its proper divisors (2594155114080).

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

1034812717920 is a wasteful number, since it uses less digits than its factorization.

1034812717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471142 (or 471128 counting only the distinct ones).

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

The spelling of 1034812717920 in words is "one trillion, thirty-four billion, eight hundred twelve million, seven hundred seventeen thousand, nine hundred twenty".