404001024100 has 72 divisors (see below), whose sum is σ = 909511232000. Its totient is φ = 155601388800.

The previous prime is 404001024071. The next prime is 404001024127. The reversal of 404001024100 is 1420100404.

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, 289456 + ... + 944344.

Almost surely, 2^404001024100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404001024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454755616000).

404001024100 is an abundant number, since it is smaller than the sum of its proper divisors (505510207900).

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

404001024100 is a wasteful number, since it uses less digits than its factorization.

404001024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655133 (or 655126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 404001024100 its reverse (1420100404), we get a palindrome (405421124504).

The spelling of 404001024100 in words is "four hundred four billion, one million, twenty-four thousand, one hundred".