1034467999744 has 153 divisors (see below), whose sum is σ = 2158476834787. Its totient is φ = 495753101312.

The previous prime is 1034467999709. The next prime is 1034467999751. The reversal of 1034467999744 is 4479997644301.

The square root of 1034467999744 is 1017088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12977766400 + 1021490233344 = 113920^2 + 1010688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1034467999744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7550861244 + ... + 7550861380.

Almost surely, 2^{1034467999744} is an apocalyptic number.

1034467999744 is the 1017088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034467999744

1034467999744 is an abundant number, since it is smaller than the sum of its proper divisors (1124008835043).

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

1034467999744 is an frugal number, since it uses more digits than its factorization.

1034467999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 67.

The spelling of 1034467999744 in words is "one trillion, thirty-four billion, four hundred sixty-seven million, nine hundred ninety-nine thousand, seven hundred forty-four".