904414416141 has 16 divisors (see below), whose sum is σ = 1207469877120. Its totient is φ = 602151467520.

The previous prime is 904414416131. The next prime is 904414416167. The reversal of 904414416141 is 141614414409.

It is not a de Polignac number, because 904414416141 - 2⁵ = 904414416109 is a prime.

It is a super-2 number, since 2×904414416141² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 904414416141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904414416131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7094320 + ... + 7220678.

It is an arithmetic number, because the mean of its divisors is an integer number (75466867320).

Almost surely, 2^904414416141 is an apocalyptic number.

It is an amenable number.

904414416141 is a deficient number, since it is larger than the sum of its proper divisors (303055460979).

904414416141 is a wasteful number, since it uses less digits than its factorization.

904414416141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129476.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 904414416141 in words is "nine hundred four billion, four hundred fourteen million, four hundred sixteen thousand, one hundred forty-one".