404314142301100 has 144 divisors (see below), whose sum is σ = 923201173843200. Its totient is φ = 153468671166720.

The previous prime is 404314142301073. The next prime is 404314142301101. The reversal of 404314142301100 is 1103241413404.

It is a super-2 number, since 2×404314142301100² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404314142301101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787316617 + ... + 787829983.

It is an arithmetic number, because the mean of its divisors is an integer number (6411119262800).

Almost surely, 2^{404314142301100} 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 404314142301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461600586921600).

404314142301100 is an abundant number, since it is smaller than the sum of its proper divisors (518887031542100).

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

404314142301100 is a wasteful number, since it uses less digits than its factorization.

404314142301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518072 (or 518065 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 404314142301100 its reverse (1103241413404), we get a palindrome (405417383714504).

The spelling of 404314142301100 in words is "four hundred four trillion, three hundred fourteen billion, one hundred forty-two million, three hundred one thousand, one hundred".