1034414004101 has 8 divisors (see below), whose sum is σ = 1035112583160. Its totient is φ = 1033715545792.

The previous prime is 1034414004097. The next prime is 1034414004119. The reversal of 1034414004101 is 1014004144301.

It can be written as a sum of positive squares in 4 ways, for example, as 92553459076 + 941860545025 = 304226^2 + 970495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1034414004101 - 2² = 1034414004097 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22695131 + ... + 22740663.

It is an arithmetic number, because the mean of its divisors is an integer number (129389072895).

Almost surely, 2^{1034414004101} is an apocalyptic number.

It is an amenable number.

1034414004101 is a deficient number, since it is larger than the sum of its proper divisors (698579059).

1034414004101 is a wasteful number, since it uses less digits than its factorization.

1034414004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60375.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1034414004101 its reverse (1014004144301), we get a palindrome (2048418148402).

The spelling of 1034414004101 in words is "one trillion, thirty-four billion, four hundred fourteen million, four thousand, one hundred one".