1034414004125 has 16 divisors (see below), whose sum is σ = 1312111779888. Its totient is φ = 813965112000.

The previous prime is 1034414004121. The next prime is 1034414004157. The reversal of 1034414004125 is 5214004144301.

It can be written as a sum of positive squares in 8 ways, for example, as 556604031481 + 477809972644 = 746059^2 + 691238^2 .

It is not a de Polignac number, because 1034414004125 - 2² = 1034414004121 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034414004121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67822802 + ... + 67838051.

It is an arithmetic number, because the mean of its divisors is an integer number (82006986243).

Almost surely, 2^{1034414004125} is an apocalyptic number.

It is an amenable number.

1034414004125 is a deficient number, since it is larger than the sum of its proper divisors (277697775763).

1034414004125 is an equidigital number, since it uses as much as digits as its factorization.

1034414004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135660929 (or 135660919 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1034414004125 its reverse (5214004144301), we get a palindrome (6248418148426).

The spelling of 1034414004125 in words is "one trillion, thirty-four billion, four hundred fourteen million, four thousand, one hundred twenty-five".