404011424111130 has 512 divisors, whose sum is σ = 1303758130544640. Its totient is φ = 87875808768000.

The previous prime is 404011424111089. The next prime is 404011424111131. The reversal of 404011424111130 is 31111424110404.

404011424111130 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 114 + 2 + 411 + 1 + 130 = 666.

It is a super-2 number, since 2×404011424111130² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404011424111094 and 404011424111103.

It is not an unprimeable number, because it can be changed into a prime (404011424111131) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102941440 + ... + 106794020.

It is an arithmetic number, because the mean of its divisors is an integer number (2546402598720).

Almost surely, 2^{404011424111130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404011424111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651879065272320).

404011424111130 is an abundant number, since it is smaller than the sum of its proper divisors (899746706433510).

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

404011424111130 is a wasteful number, since it uses less digits than its factorization.

404011424111130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852723 (or 3852717 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 404011424111130 its reverse (31111424110404), we get a palindrome (435122848221534).

The spelling of 404011424111130 in words is "four hundred four trillion, eleven billion, four hundred twenty-four million, one hundred eleven thousand, one hundred thirty".