4101245672832 has 384 divisors, whose sum is σ = 14795234737920. Its totient is φ = 1059369062400.

The previous prime is 4101245672801. The next prime is 4101245672869. The reversal of 4101245672832 is 2382765421014.

4101245672832 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 2 + 4 + 567 + 2 + 83 + 2 = 666.

4101245672832 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 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, 15927703 + ... + 16183145.

It is an arithmetic number, because the mean of its divisors is an integer number (38529257130).

Almost surely, 2^{4101245672832} is an apocalyptic number.

4101245672832 is a gapful number since it is divisible by the number (42) 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 4101245672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397617368960).

4101245672832 is an abundant number, since it is smaller than the sum of its proper divisors (10693989065088).

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

4101245672832 is a wasteful number, since it uses less digits than its factorization.

4101245672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255662 (or 255647 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4101245672832 in words is "four trillion, one hundred one billion, two hundred forty-five million, six hundred seventy-two thousand, eight hundred thirty-two".