4101456384 has 100 divisors (see below), whose sum is σ = 12241891134. Its totient is φ = 1367138304.

The previous prime is 4101456343. The next prime is 4101456391. The reversal of 4101456384 is 4836541014.

4101456384 is a `hidden beast` number, since 4 + 1 + 0 + 14 + 5 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3536918784 + 564537600 = 59472^2 + 23760^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7977 + ... + 90920.

Almost surely, 2^4101456384 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 4101456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120945567).

4101456384 is an abundant number, since it is smaller than the sum of its proper divisors (8140434750).

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

4101456384 is an frugal number, since it uses more digits than its factorization.

4101456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98927 (or 98902 counting only the distinct ones).

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

The square root of 4101456384 is about 64042.6138129917. The cubic root of 4101456384 is about 1600.7101514231.

Adding to 4101456384 its reverse (4836541014), we get a palindrome (8937997398).

The spelling of 4101456384 in words is "four billion, one hundred one million, four hundred fifty-six thousand, three hundred eighty-four".