4101456000 has 128 divisors (see below), whose sum is σ = 13596485760. Its totient is φ = 1093708800.

The previous prime is 4101455959. The next prime is 4101456001. The reversal of 4101456000 is 6541014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101456001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5277 + ... + 90723.

It is an arithmetic number, because the mean of its divisors is an integer number (106222545).

Almost surely, 2^4101456000 is an apocalyptic number.

4101456000 is a gapful number since it is divisible by the number (40) 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 4101456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798242880).

4101456000 is an abundant number, since it is smaller than the sum of its proper divisors (9495029760).

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

4101456000 is an equidigital number, since it uses as much as digits as its factorization.

4101456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85479 (or 85457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4101456000 is about 64042.6108149879. The cubic root of 4101456000 is about 1600.7101014675.

Adding to 4101456000 its reverse (6541014), we get a palindrome (4107997014).

The spelling of 4101456000 in words is "four billion, one hundred one million, four hundred fifty-six thousand".