4046121104256 has 384 divisors, whose sum is σ = 14622117269760. Its totient is φ = 1043266314240.

The previous prime is 4046121104239. The next prime is 4046121104269. The reversal of 4046121104256 is 6524011216404.

4046121104256 is a `hidden beast` number, since 4 + 0 + 4 + 612 + 1 + 10 + 4 + 25 + 6 = 666.

4046121104256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4046121104256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11985975 + ... + 12318921.

It is an arithmetic number, because the mean of its divisors is an integer number (38078430390).

Almost surely, 2^{4046121104256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046121104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311058634880).

4046121104256 is an abundant number, since it is smaller than the sum of its proper divisors (10575996165504).

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

4046121104256 is a wasteful number, since it uses less digits than its factorization.

4046121104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333122 (or 333107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4046121104256 in words is "four trillion, forty-six billion, one hundred twenty-one million, one hundred four thousand, two hundred fifty-six".