4102000400 has 30 divisors (see below), whose sum is σ = 9855056922. Its totient is φ = 1640800000.

The previous prime is 4102000391. The next prime is 4102000403. The reversal of 4102000400 is 40002014.

It can be written as a sum of positive squares in 3 ways, for example, as 3952144 + 4098048256 = 1988^2 + 64016^2 .

It is not an unprimeable number, because it can be changed into a prime (4102000403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5127101 + ... + 5127900.

Almost surely, 2^4102000400 is an apocalyptic number.

4102000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102000400 is an abundant number, since it is smaller than the sum of its proper divisors (5753056522).

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

4102000400 is a wasteful number, since it uses less digits than its factorization.

4102000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255019 (or 10255008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4102000400 is about 64046.8609691373. The cubic root of 4102000400 is about 1600.7809208729.

Adding to 4102000400 its reverse (40002014), we get a palindrome (4142002414).

The spelling of 4102000400 in words is "four billion, one hundred two million, four hundred", and thus it is an aban number.