404442024100 has 72 divisors (see below), whose sum is σ = 941994974088. Its totient is φ = 150174720000.

The previous prime is 404442024089. The next prime is 404442024143. The reversal of 404442024100 is 1420244404.

It can be written as a sum of positive squares in 12 ways, for example, as 6566185024 + 397875839076 = 81032^2 + 630774^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505401 + ... + 1753600.

It is an arithmetic number, because the mean of its divisors is an integer number (13083263529).

Almost surely, 2^404442024100 is an apocalyptic number.

It is an amenable number.

404442024100 is an abundant number, since it is smaller than the sum of its proper divisors (537552949988).

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

404442024100 is a wasteful number, since it uses less digits than its factorization.

404442024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259105 (or 3259098 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 404442024100 its reverse (1420244404), we get a palindrome (405862268504).

The spelling of 404442024100 in words is "four hundred four billion, four hundred forty-two million, twenty-four thousand, one hundred".