3402133314041 has 16 divisors (see below), whose sum is σ = 4242610120320. Its totient is φ = 2650394618880.

The previous prime is 3402133313989. The next prime is 3402133314077. The reversal of 3402133314041 is 1404133312043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3402133314041 - 2¹⁴ = 3402133297657 is a prime.

It is a super-2 number, since 2×3402133314041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3402133313995 and 3402133314013.

It is not an unprimeable number, because it can be changed into a prime (3402133314341) 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, 4820546 + ... + 5481051.

It is an arithmetic number, because the mean of its divisors is an integer number (265163132520).

Almost surely, 2^{3402133314041} is an apocalyptic number.

It is an amenable number.

3402133314041 is a deficient number, since it is larger than the sum of its proper divisors (840476806279).

3402133314041 is a wasteful number, since it uses less digits than its factorization.

3402133314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305904.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 3402133314041 its reverse (1404133312043), we get a palindrome (4806266626084).

The spelling of 3402133314041 in words is "three trillion, four hundred two billion, one hundred thirty-three million, three hundred fourteen thousand, forty-one".