1007434067744 has 24 divisors (see below), whose sum is σ = 2135953961820. Its totient is φ = 464969569536.

The previous prime is 1007434067729. The next prime is 1007434067797. The reversal of 1007434067744 is 4477604347001.

It can be written as a sum of positive squares in 2 ways, for example, as 937837296400 + 69596771344 = 968420^2 + 263812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1210857839 + ... + 1210858670.

Almost surely, 2^{1007434067744} is an apocalyptic number.

It is an amenable number.

1007434067744 is an abundant number, since it is smaller than the sum of its proper divisors (1128519894076).

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

1007434067744 is a wasteful number, since it uses less digits than its factorization.

1007434067744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421716532 (or 2421716524 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 47.

The spelling of 1007434067744 in words is "one trillion, seven billion, four hundred thirty-four million, sixty-seven thousand, seven hundred forty-four".