414004033141044 has 48 divisors (see below), whose sum is σ = 966956552550912. Its totient is φ = 137866041718272.

The previous prime is 414004033141033. The next prime is 414004033141099. The reversal of 414004033141044 is 440141330400414.

It is a junction number, because it is equal to n+sod(n) for n = 414004033140996 and 414004033141014.

It is a congruent number.

It is an unprimeable number.

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, 1359230272 + ... + 1359534824.

It is an arithmetic number, because the mean of its divisors is an integer number (20144928178144).

Almost surely, 2^{414004033141044} is an apocalyptic number.

It is an amenable number.

414004033141044 is an abundant number, since it is smaller than the sum of its proper divisors (552952519409868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414004033141044 is a wasteful number, since it uses less digits than its factorization.

414004033141044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415256 (or 415254 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 414004033141044 its reverse (440141330400414), we get a palindrome (854145363541458).

The spelling of 414004033141044 in words is "four hundred fourteen trillion, four billion, thirty-three million, one hundred forty-one thousand, forty-four".