4102944800 has 144 divisors (see below), whose sum is σ = 10400349960. Its totient is φ = 1579253760.

The previous prime is 4102944799. The next prime is 4102944821. The reversal of 4102944800 is 84492014.

It can be written as a sum of positive squares in 12 ways, for example, as 148547344 + 3954397456 = 12188^2 + 62884^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2870486 + ... + 2871914.

Almost surely, 2^4102944800 is an apocalyptic number.

4102944800 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 4102944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200174980).

4102944800 is an abundant number, since it is smaller than the sum of its proper divisors (6297405160).

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

4102944800 is a wasteful number, since it uses less digits than its factorization.

4102944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4102944800 is about 64054.2332715020. The cubic root of 4102944800 is about 1600.9037602481.

The spelling of 4102944800 in words is "four billion, one hundred two million, nine hundred forty-four thousand, eight hundred".