1004431034312 has 8 divisors (see below), whose sum is σ = 1883308189350. Its totient is φ = 502215517152.

The previous prime is 1004431034249. The next prime is 1004431034323. The reversal of 1004431034312 is 2134301344001.

It is a happy number.

1004431034312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 747246140356 + 257184893956 = 864434^2 + 507134^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×1004431034312³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62776939637 + ... + 62776939652.

Almost surely, 2^{1004431034312} is an apocalyptic number.

It is an amenable number.

1004431034312 is a deficient number, since it is larger than the sum of its proper divisors (878877155038).

1004431034312 is a wasteful number, since it uses less digits than its factorization.

1004431034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125553879295 (or 125553879291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1004431034312 its reverse (2134301344001), we get a palindrome (3138732378313).

The spelling of 1004431034312 in words is "one trillion, four billion, four hundred thirty-one million, thirty-four thousand, three hundred twelve".