404011240130100 has 144 divisors (see below), whose sum is σ = 1217080228504896. Its totient is φ = 103385523072000.

The previous prime is 404011240130093. The next prime is 404011240130101. The reversal of 404011240130100 is 1031042110404.

It is a super-3 number, since 3×404011240130100³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404011240130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268482834 + ... + 269983433.

It is an arithmetic number, because the mean of its divisors is an integer number (8451946031284).

Almost surely, 2^{404011240130100} is an apocalyptic number.

It is an amenable number.

404011240130100 is an abundant number, since it is smaller than the sum of its proper divisors (813068988374796).

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

404011240130100 is a wasteful number, since it uses less digits than its factorization.

404011240130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538466386 (or 538466379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 404011240130100 its reverse (1031042110404), we get a palindrome (405042282240504).

The spelling of 404011240130100 in words is "four hundred four trillion, eleven billion, two hundred forty million, one hundred thirty thousand, one hundred".