4121229176064 has 1512 divisors, whose sum is σ = 16661000244672. Its totient is φ = 987524628480.

The previous prime is 4121229176047. The next prime is 4121229176069. The reversal of 4121229176064 is 4606719221214.

4121229176064 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 2 + 29 + 17 + 606 + 4 = 666.

4121229176064 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 (1512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121229176069) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2428537264 + ... + 2428538960.

It is an arithmetic number, because the mean of its divisors is an integer number (11019180056).

Almost surely, 2^{4121229176064} is an apocalyptic number.

4121229176064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121229176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330500122336).

4121229176064 is an abundant number, since it is smaller than the sum of its proper divisors (12539771068608).

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

4121229176064 is a wasteful number, since it uses less digits than its factorization.

4121229176064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4121229176064 in words is "four trillion, one hundred twenty-one billion, two hundred twenty-nine million, one hundred seventy-six thousand, sixty-four".