404401424214312 has 512 divisors, whose sum is σ = 1312630888320000. Its totient is φ = 115312737576960.

The previous prime is 404401424214301. The next prime is 404401424214323. The reversal of 404401424214312 is 213412424104404.

404401424214312 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 1 + 424 + 214 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (404401424214301) and next prime (404401424214323).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144583990098 + ... + 144583992894.

It is an arithmetic number, because the mean of its divisors is an integer number (2563732203750).

Almost surely, 2^{404401424214312} is an apocalyptic number.

404401424214312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404401424214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656315444160000).

404401424214312 is an abundant number, since it is smaller than the sum of its proper divisors (908229464105688).

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

404401424214312 is a wasteful number, since it uses less digits than its factorization.

404401424214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 404401424214312 its reverse (213412424104404), we get a palindrome (617813848318716).

The spelling of 404401424214312 in words is "four hundred four trillion, four hundred one billion, four hundred twenty-four million, two hundred fourteen thousand, three hundred twelve".