4104275840 has 128 divisors (see below), whose sum is σ = 11237054400. Its totient is φ = 1404223488.

The previous prime is 4104275827. The next prime is 4104275887. The reversal of 4104275840 is 485724014.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4104275840.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3838826 + ... + 3839894.

Almost surely, 2^4104275840 is an apocalyptic number.

4104275840 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 4104275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618527200).

4104275840 is an abundant number, since it is smaller than the sum of its proper divisors (7132778560).

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

4104275840 is a wasteful number, since it uses less digits than its factorization.

4104275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 4104275840 is about 64064.6223745992. The cubic root of 4104275840 is about 1601.0768584057.

Adding to 4104275840 its reverse (485724014), we get a palindrome (4589999854).

The spelling of 4104275840 in words is "four billion, one hundred four million, two hundred seventy-five thousand, eight hundred forty".