410000004100 has 72 divisors (see below), whose sum is σ = 965011938408. Its totient is φ = 150588211200.

The previous prime is 410000004079. The next prime is 410000004107. The reversal of 410000004100 is 1400000014.

It can be written as a sum of positive squares in 12 ways, for example, as 101613037824 + 308386966276 = 318768^2 + 555326^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (410000004107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871477 + ... + 3010876.

It is an arithmetic number, because the mean of its divisors is an integer number (13402943589).

Almost surely, 2^410000004100 is an apocalyptic number.

It is an amenable number.

410000004100 is an abundant number, since it is smaller than the sum of its proper divisors (555011934308).

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

410000004100 is a wasteful number, since it uses less digits than its factorization.

410000004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882425 (or 5882418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 410000004100 its reverse (1400000014), we get a palindrome (411400004114).

It can be divided in two parts, 41000000 and 4100, that multiplied together give a square (168100000000 = 410000²).

The spelling of 410000004100 in words is "four hundred ten billion, four thousand, one hundred".